Question: Let I: V V be the identity operator on an n-dimensional vector space V and let S = {v1, v2,..., vn) and T =

Let I: V → V be the identity operator on an n-dimensional vector space V and let S = {v1, v2,..., vn) and T = {w1, w2,..., wn} be ordered bases for V. Show that the matrix of the identity operator with respect to S and 7 is the transition matrix from the 5-basis to the T-basis.

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