Find the value of š“ 2 , where A is a 2Ɨ2 matrix whose elements are given by š‘Žš‘–š‘— = {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

Ā 

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Transcript

Question 5 (Choice 1) Find the value of š“2 , where A is a 2 Ɨ 2 matrix whose elements are given by š‘Žš‘–š‘— = {ā–ˆ(1 š‘–š‘“ š‘– ā‰ š‘—@0 š‘–š‘“ š‘–=š‘—)┤ A = [ā– 8(š‘Ž_11&š‘Ž_12@š‘Ž_21&š‘Ž_22 )] A = [ā– 8(0&1@1&0)] Now, A2 = [ā– 8(0&1@1&0)] Ɨ [ā– 8(0&1@1&0)] = [ā– 8(0(0)+1(1)&0(1)+1(0)@1(0)+0(1)&1(1)+0(0))] = [ā– 8(šŸ&šŸŽ@šŸŽ&šŸ)]

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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