Let T be a linear operator on n" ;md l3 be an ordered

Chapter , Problem 100

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Let T be a linear operator on n" ;md l3 be an ordered basis for n. Prove lhe following results: (a) For every vector v in n", [T(v)]B = [T]B[v]B. (b) If C is an n x n matrix such that [T(v))B = C[v)B for every vector v in n", then C = [T]

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