Let T : V S W be a linear transformation between finite-dimensional vector spaces and
Chapter 6, Problem 6.6.39(choose chapter or problem)
Let T : V S W be a linear transformation between finite-dimensional vector spaces and let B and C be bases for V and W, respectively. Show that the matrix of T with respect to B and C is unique. That is, if A is a matrix such that for all v in V, then [Hint: Find values of v that will show this, one column at a time.]
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