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 Dec. 16, 2024 by Teachoo

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

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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)]

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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 and Computer Science at Teachoo

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