Let V and W be vector spaces with ordered bases E and F, respectively. If L : V W is a
Chapter 4, Problem 20(choose chapter or problem)
Let V and W be vector spaces with ordered bases E and F, respectively. If L : V W is a linear transformation and A is the matrix representing L relative to E and F, show that (a) v ker(L) if and only if [v]E N(A). (b) w L(V) if and only if [w]F is in the column space of A.
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