UNIT-1 I Matrices I ONE SHOT REVISION I Maths by Gulshan Sir I Gateway Classes I AKTU IRGPV

[@gatewayclasses]

One Shot Pdf Notes available in App for free ...play.google.com/store/apps/details?id= Math-1 One Shot playlist kzbin.info/aero/PL-vEH_IPWrhBODXZLmNMmhNi-rZADadJW&si=8LS9SxwPBudV1YPX

[@RohanSingh-zy2mt]

7:20 elementary transformation 17:30 inverse 28:46 rank (determinant method , echelon form) 44:40 normal form (rank) 54:25 P&Q form 1:04:40 system of linear equation 1:34:51 linear dependence and independence of vectors 1:44:32 complex matrices 1:48:22 hermitian , skew hermitian and unitary matrix 1:58:50 eigen value and eigen vector 2:20:40 cayley-hamilton theorem

[@SOI01]

Thanks bro 🙏🏻👍🏻

[@aryanjaiswal7759]

Thanku bhai

[@vsj_22]

Thanks bro ❤❤❤❤

[@AbhinavRajput-jc7tt]

Thankyou bhai

[@mdazeem07]

Thanks bro

[@anuragnag8254]

Cayley hamelton - 2:20:50 Normal form - 44:44 Elementary transformation - 18:30 Imp - 1:55:10 Eigen value - 1:59:10

[@harsh4996]

1:42:40 pr linearly independend hoga

[@CristianoRonaldoji7]

Good bro

[@Vinaysharma-pj4iz]

Ha Bhai sir nind me hai 😅

[@JEEASPIRANT632]

@@Vinaysharma-pj4iz nahni bhai ho jata hai guru ko ese nahni bolte

[@LandofgodIndia]

Watching 10 hr brfore exams

[@AyuSh-if5is]

Just Avi avi start kiya hai padhna😢

[@Darkkniight]

US BHAI US

[@X..Harshit_]

16 hours phele

[@hellice121]

1 hr pehle

[@AkshayKumar-ui2kg]

2 hours before 😢

[@ayushkumarsingh9063]

one of best lecture that I ever seen before on the topic matrices Thanks sir 😊

[@vaibhavsharma2039]

😊

[@23cse164_LakshyaPratapsingh]

love from jss noida😍🥰 #iitnoida

[@ranshemperor8785]

exams hogye vro tmhare?

[@punitgupta2204]

From g l Bajaj

[@viratroa]

Done ❤😊

[@shobhitking3315]

Wonderful video by wonderful teacher ❤ Thank u sir for this awesome oneshot❤

[@thinkover3590]

Thank you sir for one short lecture 🙏🙏🙏

[@gatewayclasses]

Most welcome

[@abhisheksharmahappyyouabhi487]

​@@gatewayclasses sir jis ki back h Mathematics 1 me please important bata do ...

[@dream21..26]

Exam se one day before mai Matrix ka lecture dekhai to laga itna easy unit five unit mai se koi bhi nahi hai Ye sab ap kai karan hu sir.thanku so much sir🙏.My all doubts cleared for this one short video.

[@gatewayclasses]

🙏

[@neelamsaraswat5600]

Your study material really awesome👏✊👍

[@fit_akhand366]

00:05 One shot video for unit-1 matrix in engineering mathematics by Gulshan Sir. 02:20 One shot revision of Matrix, covering the basics and types of matrices. 06:41 Elementary transformations in matrix 08:54 Matrix elementary transformations include column interchange, row multiplication by a non-zero number, and row addition to another row. 13:17 Converting a matrix to identity using elementary transformations. 15:11 To create an identity matrix, perform operations to make all elements zero except the diagonals. 19:17 Converting Matrix to Identity 21:35 Applying the operation on a matrix results in an identity matrix and the matrix of A inverse. 25:37 Elementary transformation and its importance in calculating rank 28:12 Rank of a matrix is determined by the number of non-zero determinants. 32:13 Determinant method is used to find the rank of a matrix. 34:06 Determinants play a crucial role in determining the rank of a matrix. 38:28 Apply the clear form method to find the rank of the given matrix. 40:17 Finding the ranks of given matrices. 44:03 The video discusses the three methods for finding the rank of a matrix: Determine method, Normal form method, and Row Transformation and Column Transformation. 46:10 The process of converting a matrix into the identity matrix and determining its rank 49:49 The procedure involves making zeros and vans in a specific order to obtain the unit matrix. 52:07 The video explains how to use the normal form method for a 4x4 matrix. 56:11 Applying row and column operations on a matrix to convert it to the identity matrix 58:18 Applying elementary row and column transformations to identify the matrix 1:01:58 Understanding the condition PAK = I and its inverse 1:03:54 Understanding Linear Equations and Systems 1:08:10 Understanding the system and solving equations using matrices 1:10:33 A system of equations can have a unique solution, infinite solutions, or no solution. 1:14:35 The condition of unique solution is satisfied 1:17:30 Solving equations and checking consistency 1:21:48 Determine the values of lambda and mu in the given system of equations 1:23:51 Lambda and Mu are new variables in the equations 1:27:40 The system of linear equations will have a unique solution if the rank of the matrix is equal to the number of variables. 1:29:36 Unique solution exists when the rank is equal to the number of unknowns. 1:34:08 Understanding the concept of linear independence of vectors in matrix form. 1:36:18 Matrix rank determines linear independence 1:40:21 To find the value of λ for which vector r is linearly dependent with vector d. 1:42:03 Complex matrices contain at least one element which is complex. 1:46:14 Taking the conjugate and transpose of a matrix results in the same matrix A. 1:48:51 The concept of unitary matrices and their properties 1:54:03 Matrix can be proven unitary by multiplying with its conjugate. 1:56:06 The matrix is a unitary matrix with certain properties. 2:00:25 Understanding the use of matrix and characterization 2:03:23 Calculator can be used to solve cubic equations. 2:09:27 The video discusses matrix characterization and solving quadratic equations. 2:11:32 Finding values of diagonal elements in a matrix 2:15:32 Finding eigenvectors for different values of lambda in matrix A 2:17:56 Solving equations using the bi cross multiply method 2:22:32 Characteristics equation and verification using Hamilton Theorem 2:24:38 Verification of Hamilton's theorem and understanding of its inverse 2:28:26 Simplification of an expression involving matrices. 2:30:25 The unit covers important topics like square expressions, Hamilton's theorem, and elementary transformations. Crafted by Merlin AI.00:05 One shot video for unit-1 matrix in engineering mathematics by Gulshan Sir. 02:20 One shot revision of Matrix, covering the basics and types of matrices. 06:41 Elementary transformations in matrix 08:54 Matrix elementary transformations include column interchange, row multiplication by a non-zero number, and row addition to another row. 13:17 Converting a matrix to identity using elementary transformations. 15:11 To create an identity matrix, perform operations to make all elements zero except the diagonals. 19:17 Converting Matrix to Identity 21:35 Applying the operation on a matrix results in an identity matrix and the matrix of A inverse. 25:37 Elementary transformation and its importance in calculating rank 28:12 Rank of a matrix is determined by the number of non-zero determinants. 32:13 Determinant method is used to find the rank of a matrix. 34:06 Determinants play a crucial role in determining the rank of a matrix. 38:28 Apply the clear form method to find the rank of the given matrix. 40:17 Finding the ranks of given matrices. 44:03 The video discusses the three methods for finding the rank of a matrix: Determine method, Normal form method, and Row Transformation and Column Transformation. 46:10 The process of converting a matrix into the identity matrix and determining its rank 49:49 The procedure involves making zeros and vans in a specific order to obtain the unit matrix. 52:07 The video explains how to use the normal form method for a 4x4 matrix. 56:11 Applying row and column operations on a matrix to convert it to the identity matrix 58:18 Applying elementary row and column transformations to identify the matrix 1:01:58 Understanding the condition PAK = I and its inverse 1:03:54 Understanding Linear Equations and Systems 1:08:10 Understanding the system and solving equations using matrices 1:10:33 A system of equations can have a unique solution, infinite solutions, or no solution. 1:14:35 The condition of unique solution is satisfied 1:17:30 Solving equations and checking consistency 1:21:48 Determine the values of lambda and mu in the given system of equations 1:23:51 Lambda and Mu are new variables in the equations 1:27:40 The system of linear equations will have a unique solution if the rank of the matrix is equal to the number of variables. 1:29:36 Unique solution exists when the rank is equal to the number of unknowns. 1:34:08 Understanding the concept of linear independence of vectors in matrix form. 1:36:18 Matrix rank determines linear independence 1:40:21 To find the value of λ for which vector r is linearly dependent with vector d. 1:42:03 Complex matrices contain at least one element which is complex. 1:46:14 Taking the conjugate and transpose of a matrix results in the same matrix A. 1:48:51 The concept of unitary matrices and their properties 1:54:03 Matrix can be proven unitary by multiplying with its conjugate. 1:56:06 The matrix is a unitary matrix with certain properties. 2:00:25 Understanding the use of matrix and characterization 2:03:23 Calculator can be used to solve cubic equations. 2:09:27 The video discusses matrix characterization and solving quadratic equations. 2:11:32 Finding values of diagonal elements in a matrix 2:15:32 Finding eigenvectors for different values of lambda in matrix A 2:17:56 Solving equations using the bi cross multiply method 2:22:32 Characteristics equation and verification using Hamilton Theorem 2:24:38 Verification of Hamilton's theorem and understanding of its inverse 2:28:26 Simplification of an expression involving matrices. 2:30:25 The unit covers important topics like square expressions, Hamilton's theorem, and elementary transformations.

[@DivyaKushwaha-cw3yq]

❤🎉

[@acousticanurag]

Aise hi one shot me full explanation wali bhi dalo lec 1,2,3...aise dhundna nhi padeha bhale 6,7 hours ho jayaye but students sabse jyada whi like kate hai... Try kr ke dekh lo please.. MUST READ....

[@tmkocfans827]

Thanks for this great session...🌀😇

[@shivalisingh5350]

Thanku sir apki videos se hme bahut help mil rha hai apki video ki wajah se mai sessional exam me 69/70 mark gain kiya 🙏🙏

[@navhis]

😮

[@jiyaatrii2651]

Congratulations

[@gaming-zone08]

Ya keval girls hi kar sakti ha ladko ko fsa kar 😂😂😂😂

[@AtalKashyap-cr4zg]

Thank you sir ji ❤️

[@hemantbansal4136]

7:20 elementary transformation 17:30 inverse 28:46 rank (determinant method , echelon form) 44:40 normal form (rank) 54:25 P&Q form 1:04:40 system of linear equation 1:34:51 linear dependence and independence of vectors 1:44:32 complex matrices 1:48:22 hermitian , skew hermitian and unitary matrix 1:58:50 eigen value and eigen vector 2:20:40 cayley-hamilton theorem

[@thakurshivanksinghchauhan1715]

Thanks guru ji🙏🏼🙏🏼🙏🏼🙏🏼🙏🏼

[@AkshitaSingh-or6pj]

52:16 :- -3 ke place pr 3 hai.

[@pksaini_]

Thank you so much sir for one shot video

[@gatewayclasses]

All five units one shot will be uploaded soon

[@poojabhardwaj8471]

Sir next unit ka bhi one shot upload kr dijiye... Btw this video was very helpful. 😊🙏

[@gatewayclasses]

Will be uploaded soon

[@aneythakur09]

Bahut achhi bat boli h

[@ShivamTiwari__uk]

App bhi btech 😂

[@ajeetsingh9969]

Sir please sbhi unit ke ONE SHOT laiye Plzz sir it's humble request 🙏🙏🙏🙏🙏🙏Isse hme bhut help MIL rha hai..

[@gatewayclasses]

Ok

[@rakeshtiwari868]

Thanks Guru ji

[@aairashakeel-hs3kc]

Thanks sir I appreciate you 👏

[@raushankushwaha4559]

Sir 1:42:58 ans me rank =no. of vectors a gaya to linearly independent hoga na

[@itispranav]

Haan bhai glti se gkt bta diye sir

[@vaibhavtiwari2328]

Aur practice question me bhi linear independent hoga sayad ..

[@shany4952]

@@itispranav bhut jgh glti h bro agar dhyan se dekho to khaskarke unitary aur hermitian mei

[@Peditz_ofcl]

Hn sahi bole

[@saurabh__004]

Thanks sir 🙏🙏🙏

[@gatewayclasses]

Most welcome

[@Prayagthakurvlogs]

Sir You are a best teacher

[@Ankit_Singh7329]

Sir , Kisi matrix ko diagonal matrix mai change karke direct "Eigen Value" find nahi kar sakte hai ?

[@5221Gupta]

Watching one day before exam I'm from BEU this session also helpful for BEU students love you sir🎉

[@NikhilKumar-si6dm]

Sir Please provide electronic and physics one shot of every chapter 🙏🙏

[@vaibhavsharma2060]

Thanks a lot sir backlog paper ke pehle revision karne aaya tha ache se hogya

[@Sachin.maurya_2089]

Sir 1:22:21 par waha 13 hoga last me

[@ShraddhaVerma-r8i]

Thank you soo much sir for this amazing lecture!!

[@shivjeetkumar3711]

Watching before 10 minute

[@arbaazskythefly3835]

Super ❤❤❤❤

[@pihur21]

Thank you sir mjaa Aaya haia

[@priyanshu7206]

राधेराधे❤

[@srijansrivastava5052]

Thank you so much sir.

[@REELHUB230]

Thanks sir

[@gatewayclasses]

Welcome dear

[@fforfun9748]

Watching few hours from exam 😨😬

[@rashisrivastava8932]

Thank you so much sir Very helpful lecture❤🙏🙏🙏🙏

[@PROFIT_PUR]

Need notes of any subject of 1st year then Dm me

[@SECRET-do8ub]

Exam se pahle 10 mint me khatam kar diya pura 🤡🤞

[@Shlok_a]

You are an engineer

[@informative1472]

Sir, Thanks for one shot lecture.

[@gatewayclasses]

👍

[@bhumikaagarwal6240]

watching two days before exam

[@iamshaneofc]

I'm gonna start this unit now🌚

[@Mann5497]

Kaisa gaya??

[@humanhu2451]

Mera toh kl h exam 😢

[@AdityaRaj-kx1fy]

Pass ho gaye bhai??

[@Oneness-m4y]

Are u from mgm clg of noida 😂😂😂?

[@nishkarsh8020]

matrix : enclosed by ( ) or [ ] eg- A row x col Types : Sq - no of rows = no of columns ; Trace = sum of diag. elem. , only det. of sq matrices be find Diagonal - all non-diag elements are 0 scalar - all diag are same identity - all diag are 1 null - all elements are 0 transpose - row column Symmtric - A' = A skew symmetric - A' = - A Involuntary - A^2 = I Idempotent Orthogonal - A A' = I OR A' = A^-1 Nilpotent - A^2 = 0 Singular - | A | = 0 non singular - | A | ≠ 0 upper Triangular - below tri. all elements 0 lower triangular - above tri 0 row - no of row = 1 , col = any colu- no of column = 1 , row = any equal - order same , elements position same, all same Matrix - determinant - no num value ✔ only storing data ❌ no of rows may & may not be = column = ✔

[@AkshitaSingh-or6pj]

Wow nice explanation 😲😊

[@nishkarsh8020]

​@@AkshitaSingh-or6pj thanks by the aapke channel pe aap ne bhout funny memes Dali hai

[@AkshitaSingh-or6pj]

@@nishkarsh8020 Achha ji, thanks 😊

[@dev_oscp]

Sir we need also fundamental electrical engineering one shot videos please upload these units as soon as possible... if it possible to provide physics also then please upload 🙏🙏🙏

[@madhutripathi6473]

Thankyou so much sir

[@harsh4996]

1:43:10 pr rank 3 aayegi aur linearly dependent hoga

[@krishsehgal]

linearly independent hoga bhai (rank = no of vectors) ho gye na

[@JustEngineerOnly]

Hm Rank 3 But linearly dependent

[@JustEngineerOnly]

RANK 3 &Independent 😅

[@PrakashJaisawal-i3w]

Q8.3 independent hoga

[@___feel.lyrics]

Thanks a lot sir ☺️

[@Shakya52]

Thanks sir for the amazing content

[@nishantthakur2881]

Sir elementary transformation ma apni marzi hai ki eska questions row se kara ya fir columns se ya fir sir dono hi lagana padenga

[@dhruvshukla5591]

Watching while giving exam🥺👉👈

[@MRAshishYadav-hq6nv]

Thank You so much sir Sir sabhi Unit ki one shot laiye please

[@kaif.6773]

Watching 2 hours before exam😂

[@Version09837]

𝑾𝒂𝒕𝒄𝒉𝒊𝒏𝒈 𝒕𝒐𝒅𝒂𝒚 𝒃𝒆𝒇𝒐𝒓𝒆 𝒂 𝒆𝒙𝒂𝒎 😁

[@Life.unfilltered]

Hum koi quadratic equations ko calculator se solve karne ko btaye jra

[@कशिशदीक्षित]

Thankyou very much sirr.....

[@saurabhchaudhary7157]

Sir please make vidoe on differential calculus🙏🏻🙏🏻

[@pandaXop]

1:42:35 linearly independent hai 👺

[@farazzone8471]

Ha bhai mai yahi ke liyee comment me aaya tha 😅

[@shreshths.8573]

34:10 confuse ho gya me 😵‍💫

[@atulsngh4463]

Thank you so much Sir ❤️🙏🏻

[@abhinavshukla4278]

thank you sir

[@imSuhailkhan7]

Thank you so much sir ☺️

[@UM2802]

Sir maths 4 ke bhi one shot layiye

[@raftarboy7763]

Kya padhate hai sir aap kamal hai

[@Erboys90]

Thanks

[@priyanshu7206]

जयबाबाकी❤

[@AbhishekYadav-bc9ho]

Thank you sir 😊

[@SaurabhSinghsolanki-tx8or]

Q 10.6 mai for lamda 5 cross multiplication mai -12 hai for x2 timing 02:17:34

[@NitinLodhiRajput04]

Amazing class sir 💖💖💖💖💖💖

[@gatewayclasses]

🙏

[@your.ankittt6375]

Bro have you buyed the course 😅😅???

[@Anuj-li6iz]

Happy New year sir 😊

[@uchihaitachi9629]

Sir q8.3 linearly independendent hoga

[@RekhaGautam-nd8mv]

Thankyou sir ❤️

[@anyaforger4751]

Thank you sir for this one shot. Sir, please upload the videos of the remaining topics. ✨

[@AryanUpadhyay-fm4xb]

nice👍👍

[@harshulsharma5571]

Sir baaki subjects ka bhi one shot banado

[@anoopdwivedi4288]

Sir, maine UP scholarship ke liye apply kr rakkha hai to kya isme apply kr skta hu? UP scholarship me koi problem to nhi hogi?

[@parasgupta1391]

thank you sir . LOve from dtu

[@morningstar1027]

Sir question 6.1 rank of Matrix normal form 4*4 Matrix ki rank 3 aarhi hai aapne 4 bataya please confirm. 54:7 please confirm sir Koi method bata dijiye jisse pata chal sake ki humse questions ki rank sahi nikali hai ya galat please sir

[@rehanakbar6731]

Thank you very much sir😇😇

[@RadhaSharanam]

45:00 54:00 20min

[@PROFIT_PUR]

Need notes of any subject of 1st year then Dm me

[@youtuber.shivam.k.I.T]

Sir sabhi unit ka one shot video upload kijiye

[@ssckiyaari]

Sir , please tell me, which next chapter will be uploaded.

[@Rajgupta-ot5xd]

Watching last night before exam 😁😁😁

[@hoorain-m7d]

Kya hum kisi or college se hokar yaha se nahi parhai kar sakte...plz reply....its urgent

[@nitishrajput9268]

Thanku sir for one shirt lecture

[@sudhanshusingh3330]

Thanq sir for one shot videos... This will help us in revision😍

[@RamgopalPal-m5h]

Sir aap physics bhi 1st year ki padhao sir aapse padhne me mja aata h

[@rahulbhakda9792]

Sir g aap to aaj Shanti institute of technology clg m aaya hua tha practical lene k liye ♥️

[@ojasbhatnagar1352]

Sir q.4.4 at 44.03 pe answer is 3 rank 3 aayi hai (non zero rows) ......2 nahi

[@Raju_bhai-u9g]

Seen this video before exam 2 hours ago

[@SastaGaming686]

Sir Ed ka bhi kar dijiye

[@in_general_]

7:20 elementary transformation 17:30 inverse 28:46 rank (determinant method , echelon form) 44:40 normal form (rank) 54:25 P&Q form 1:04:40 system of linear equation 1:34:51 linear dependence and independence of vectors 1:44:32 complex matrices 1:48:22 hermitian , skew hermitian and unitary matrix 1:58:50 eigen value and eigen vector 2:20:40 cayley-hamilton theorem

[@priyanshu7206]

Satimahadeva❤

[@Deependrajatav2006]

Sir unit 1 calculas ka one short vidio bna dijiye

[@UM2802]

Aur thermodynamics ke one shot layiye

[@AxIS_ytcodm]

01:16:01

[@r3ver108]

Sir linearly dependent kb hota h jb rank

[@yess8349]

Ha sahi kha bhai

[@yashtomar8801]

❤️