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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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, Social Science, Physics, Chemistry, Computer Science at Teachoo.