#5-Matrices-Idempotent,Involutory,Periodic and Nilpotent Matrices- IIT JEE

[@shaurya_aggarwal_G]

I really like how views drastically reduce with increase in lec no...it shows how much of the selected students are actually in the competition

[@anuragpandey2004]

Sir gave this content , 5 years ago...and I am watching his videos today.... think what he gave , abhi tak aisa content youtube pe nahi aya....sir you are really awesome 🙏🙏🙏😭✨✨✨✨❤️❤️❤️

[@adeshnagrale4478]

condition of Q.2 is a^2+bc=1

[@RandomVideos_YT]

Yes mine also is the same

[@tapankumarchowdhury2127]

@@RandomVideos_YT how?

[@harshjain3122]

That is correct

[@aarohanchakraborty6200]

Yeah right

[@shouryamittal3721]

Ya right

[@ravishukla1426]

Sir ...thankyou again very much ....for providing us this quality of notes and explanation for free.....you are a god for me.....fully dependent on your lectures...despite studying in reliable (kota)....I would surely like to meet you ...if i would be selected in the IIT ...THANKU AGAIN VERY MUCH SIR....YOU AND ALOK SIR ARE JUST OUTSTANDING

[@sushmashukla2000]

Sir I have completed my 17 chapters from your lectures and even can challenge my friend which studies in resonance Thanks sir sab aapki kripa se

[@mydearfriend007]

3:58 |A²|=|A•A|=|A|•|A|=|A|² for those who were finding it a bit difficult to digest

[@tusharsrazz8165]

Thanks

[@jpyyadav1964]

Thanks

[@srinivaskuchipudi9192]

Bayya question no 1 is not involuntary right or not?

[@TheBrownWitch]

@@srinivaskuchipudi9192yes Q1 in second part is not involuntary

[@anjusingh-wk5mc]

In term of modulus sir has reached us this in basic math

[@mr.factorial6544]

in question at 21:13 the 3 in the 2 nd row 2nd column must be 5 for the matrix to be invouluntary cheers

[@AKIBKHAN-lt8rn]

Thanks bro.

[@HimanshuSingh-jq7yg]

This is the order preferred by Mohit Sir in one of his comment.... Hope it helps those studying in class 11 You can start with 1) Basic Mathematics and logarithm 2) Trigonometry 3) quadratic equation and expressions 4) progression and series 5) straight line 6) circle 7) parabola 8) Binomial Theorem 9) Permutation and Combination...10) Trigonometric Equations For XII , calculus playlist should be watched in given order (starting with function) Parabola-ellipse-hyperbola(after straight line and circle) Probability after permutation and combinations Complex number Vector-3D Matrix

[@pradeepchauhan5838]

Sir 21:33 multiplication of matrix is a^2-bc as i observe

[@yashgupta7843]

thanks sir for your priceless work.....!!! I hope that your good efforts will help many students and whole India came to know you soon ...

[@im.kRiStEn_424]

I really want that but competition badh jaiga :(

[@darkhorseks9559]

@mohit sir at 21.23 question 2 the matrix multiplication is incorrect , it should be a^2 + bc at both diagonal places.

[@tanish9381]

yeah right :/

[@KumkumMishra]

Sahi mai

[@xavierfernandis6272]

Yes :(

[@jasjotsingh5461]

Yes u r right

[@pradeepchauhan5838]

Yeah right

[@akkhileshg7345]

13:12 Q1) The value of |A| = 0. And for idempotent, |A| = 0,1. Hence, it is Idempotent 20:58 Q1) For matrix to be involuntary, |A| = 1 or -1. But here, |A| = -9. Hence, this matrix is not involuntary.

[@REXON77]

U can't use this conditions incompletely

[@saharshjain3203]

WITH DUE RESPECT RESPECTED SIR AT 21:18 I THINK there IS a MISTAKE IN THE SOLUTION. There SHOULD BE BC IN PLACE OF AC AND BOTH ARE COMING TO BE SAME SO WHAT TO DO THEN, SIR PLZ EXPLAIN.

[@saharshjain3203]

If anyone have answer so explain then plz

[@harshjain3122]

Clearly, the condition is coming out to be a^2=1-bc on solving both the equations. So yes, there is something incorrect with the solution provided

[@tanmay______]

yup, both the diagonal elements should be a^2+bc. The solution is obtained by equating this to 1.

[@nilesh3646]

Yes

[@swetatripathy4353]

yes you are right even i got confused

[@KumkumMishra]

Sir at 21:34 both diagonal place pr a^2+bc ayega

[@heenadawar9852]

u r right

[@harshitasharma4820]

ha same mera bhi

[@pradeepchauhan5838]

U r 👉

[@Agentp_nitbhopal]

Aap toh youtuber ban gye😯😯😯

[@swetatripathy4353]

at 21:05 the matrix is not involutory at 24:04 matrix is nil-potent and index is 2

[@iitjeeaspirant628]

Ya 👍🏻

[@kungfuking4183]

My skol teacher should watch ur videos before teaching us

[@srijadey8965]

😂

[@piyushnandan9487]

Thank you sir for giving this level of teaching your teaching skills are very conceptual and thanks again for giving it free

[@tannurai5634]

@mohit tyagi sir Thnku so much sir for great content 🙏😊

[@kausthubkesavadas7654]

A perfect video sir u r the best teacher

[@dakshkapoor9589]

Me to every other ques after sincerely following my class notes enhanced w mohit sir's beautiful lectures : 24:31

[@ashutoshthakur3885]

thanks sir for new videos great pleasure.

[@adarshchaturvedi3498]

FOr 1) we can just check det(A) is 0 or not to see idempotent because as we can see its not identity matrix ,

[@devanshurajput3841]

Sir, where have u taught how to find determinant? U have used it here...

[@mritunjayjha2130]

Wow sir your teaching is really awesome

[@krishnapratapsingh888]

thanks sir I have prepared from your lectures and now I am confident for the paper but sir please upload more videos for the rest of syllabus

[@guptabp5055]

Welcome sir! Thank you so much sir

[@shivankultrived8841]

Sir what is the difference between periodic and idempotent matrix? Idempotent (A^n = A) Periodic (A^k+1 = A) Can we write n=k+1 😀

[@saifmir555]

Value of n should be greater than or equal to 2 . But k can be 1 . So that the diff.

[@otaku9713]

Determinant value of Idempotent matrix is either 0 or 1. This isn't valid for Periodic matrix.

[@mobilegeeks236]

K is the period

[@mdafsheralam6497]

thanks sir u r great sir

[@alphaiitd1]

Thanks a lot sir

[@sanjayyadav-vj9xu]

thanks again sir

[@tpsicmin]

Thank You Sir

[@VladimirPutinIITian]

good

[@PrinceSharma-du6dm]

Sir when all diagonal elements are zero then it is not a diagonal matrix hence in question 2 total possible diagonal matrix is 7 not 8 . If i am wrong then plzz correct me

[@aasthakumari8369]

actually i think a null matrix can also be diagonal matrix since there is no limitation in diagonal matrix that diagonal elements have to be non zero

[@harshjain3122]

@@aasthakumari8369 I think the same.

[@districtlibrary6537]

@@harshjain3122 Yes, the null matrix is a diagonal matrix

[@khushigupta4452]

Thank you so much sir

[@swetatripathy4353]

AT 13:25 the matrix is idempotent

[@iitjeeaspirant628]

Yes

[@rajdeepdebnath5721]

sir kya types of square matrix jee main ke liye bhi hai?

[@falakali9834]

haaa

[@gourav5791]

No

[@jacobblack2544]

yesn't

[@studiousboy644]

@@jacobblack2544 bruh

[@vikram_singh005]

🔥🔥🔥🔥🔥

[@jesminakhatun2630]

Thank u sir (Mohit Tyagi)☺☺☺☺☺

[@MithileshKumar-vj1qq]

Respected sir, in solution of Q 2 during writing 8 diagonal matrices same diagonal matrix is repeated twice mistakenly.

[@khanjr4847]

OKKO

[@gourav5791]

Abb kya karu

[@bijendarprasad7515]

thank-you sir

[@sanjayyadav-vj9xu]

thanks again sir

[@dramaedits2063]

21:09 ques 1 is not involuntary. Am I right?

[@beastacker1775]

yes

[@shivendrasingh7372]

Sir can you please upload solutions of triangles videos

[@namansinghal945]

Present sir

[@mandeepsinghiitjeeexpert7222]

thanks sir

[@Udaysingh-iq2cv]

question 2 mei printing mistake hai

[@gettoknow1448]

Sir at 22:21 there is a mistake in ques 2

[@radheradhe-g1q]

Let's just hope that after few years someone will ask me bhaiya where are you now and I will reply them with a good college name

[@AdityaNarayan-uz5zp]

😅

[@Angelina_roe]

Bhaiya where are you now?

[@sachin95ydv]

Why the period of null matrix is undefined

[@psinity]

Null matrix raised to the power any number is null matrix, so you can not know what is the least power you should raise so that it gives a null matrix

[@JatinSharma-nw3fo]

@@psinity yes correct...

[@ayushmangupta6747]

@@psinity well replied but it's one year late

[@prajaktajoshi3024]

@@psinity but I searched on google that k should be a positive integer. So period should be 1 . Is it right?

[@bijendarprasad7515]

which book I should prefer for coordinate geometry.

[@Ayush_singh_birla]

sl loney

[@sanjayyadav-vj9xu]

thanks again sir

[@sanjayyadav-vj9xu]

thanks again sir

[@George_Soros_LLC]

Bijender bhai ...bohot tej ho gaye ...video aate he dekh daali.

[@bijendarprasad7515]

thanks to all

[@mintuvavadiya5756]

Sir multiplication is wrong

[@anandjha3568]

Sir 21.30 solution me error hai

[@mirasadhukhan1006]

Yes sir ,there is a error in multiplication of matrix in question 2 . Time 21.30

[@ArvindSingh-dy4lh]

Nice

[@prashantyadav8055]

sir 21.33 a11is b^2+bc i think

[@aesha9214]

sir what is involuntery

[@ayushmaan8214]

ab toh aapka adv ka bhi result aa gaya rahega jawab deke kya matlab

[@skjjha7509]

Sir null metrix ka period 1 hona chahiye na kyunki k to integral values hai

[@skjjha7509]

A^2=A

[@angelmehta5152]

15:11 yaha had alpha beta gamma ka value -1 bhi toh ho salta hai?

[@DepresionnIzzzNotReal]

No

[@shashwat-shukla]

bhai -1 ka square 1 aayega to condition satisfy nhi hogi jo value daali hai vahi value aani chahiye

[@scar5511]

According to you, 1 = -1. How the heck is that possible?

[@Agentp_nitbhopal]

❤️

[@Deathboy-ux2qc]

7:21

[@erehnigge-290]

12:30

[@anaghavarma751]

So are all idompotent matrices periodic? @3:13

[@studiousboy644]

yes Idempotent is indeed periodic with period 1

[@otaku9713]

@rammpeth Culture 🤦‍♀️🤦‍♀️🤦‍♀️

[@Rajesh-gj4jl]

22:30 Ye sab tum mat parho 😂

[@sanjayyadav-vj9xu]

thanks again sir