Question: Q2. Let An be the 2n x 2n matrix whose (i, j) th entry is given by 3 if i j. (a) Write down A,

Q2. Let An be the 2n x 2n matrix whose (i, j) th entry is given by 3 if i j. (a) Write down A, and A2. (b) Determine det(An ) for all n 2 1. Justify your answer. (c) Based on your answer to part (b), determine all values of n 2 1 for which An is invertible. Justify your
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