Expected GATE 2025 Question from Linear Algebra | Engineering Mathematics

[@studysimplified]

Shrenik Jain - Study Simplified (App): play.google.com/store/apps/details?id=co.kevin.nxpgd

[@mayankjirao8747]

Sir I noticed that if we divide Matrix A with 1/2 it results almost the similar matrix B, Which made me curious looking at the question there is no easy way to solve the question so the matrix must be chosen in such a way that the calculation (i.e multiplication and addition are small and easy ) is or will be easy. from that i induced that matrix A^-1 migth be B, Because only in that way the question maker himself could solve his question without worrying about the powers, Hence I calculated A inverse and it is B, so the question just boiled down to A^2024 * B^2023 * V == A*V This obsertion I could solve the question in like 30 seconds. I am enrolled in all your cousese in shernik jain app (i.e Engneering Maths, apti , practice in hindi ) which has enabled me to solve question with ease and speed, your way to teach the concepts are exceptional Sir. Thank you so much for providing your Expertiese in such a Fraction of amount makes me feel closer to my goal. (hope you read this )

[@navinkumarsah5876]

Sir time taken question hai 🙄 But explanation is like a wow 👌😊

[@vaibhavshukla-eee2932]

Sir AB matrix ka multiple identity araha hai. Fir uske baad A aur v bachega unko multiply karenge toh [8 2] ^T ajayega. Kya ye tarika sahi hai

[@10_sharmasumitramadhin22]

haa sahi hai

[@prabalshrivastava8566]

itna lengthy nhi 2 minute ka hai ye ab is identity so only av bchega multiply for answer

[@ApirkAtpug]

Kaise bhai a12 term kha solve ho rha hai

[@10_sharmasumitramadhin22]

@@ApirkAtpug a'1b'1 ka multiple identity aa raha hai to as per combination a raise to 2023 and b raise to 2023 multipy honge to identityy aaye ha aur ek a identity aur v bach jayega uska baad simple multiplication karna hai

[@ChetanMahale-d5x]

I was waiting for method 2 :(

[@rammohanrao2289]

Do (A*(AB)^2023)*v you will get an answer in 2 steps