Question: Let n be a positive integer. Define E; ; to be the n X n matrix with 1 in the (i, j)-entry and O's elsewhere.

Let n be a positive integer. Define E; ; to be the n X n matrix with 1 in the (i, j)-entry and O's elsewhere. For each of the following Elementary Row Operations, compute the determinant and inverse for the corresponding matrix: 1. scaling Row k by a (Ci E;,i + QEkk) 2. swapping Rows k and I, for k # 1 (the En,i + Ek,I + Elk) 3. adding a times Row k to Row l, for k # 1 (In + QEt,k)

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