CBSE Class 12 Sample Paper for 2021 Boards

CBSE Class 12 Sample Paper for 2020 Boards →
Class 12
Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Question 5 – Choice 1 - CBSE Class 12 Sample Paper for 2021 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at April 16, 2024 by

Find the value of 𝐴 2 , where A is a 2×2 matrix whose elements are given by 𝑎𝑖𝑗 = {1 if i ≠j 0 if i = j

Find the value of A^2 , where A is a 2 x 2 matrix whose elements are

 

Transcript

Question 5 (Choice 1) Find the value of 𝐴2 , where A is a 2 × 2 matrix whose elements are given by 𝑎𝑖𝑗 = {█(1 𝑖𝑓 𝑖 ≠𝑗@0 𝑖𝑓 𝑖=𝑗)┤ A = [■8(𝑎_11&𝑎_12@𝑎_21&𝑎_22 )] A = [■8(0&1@1&0)] Now, A2 = [■8(0&1@1&0)] × [■8(0&1@1&0)] = [■8(0(0)+1(1)&0(1)+1(0)@1(0)+0(1)&1(1)+0(0))] = [■8(𝟏&𝟎@𝟎&𝟏)]

Go Ad-free
Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.