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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