Suppose that Ais the matrix of linear transformation T : V W with respect to bases G and

Chapter 9, Problem 50

(choose chapter or problem)

Suppose that Ais the matrix of linear transformation T : V W with respect to bases G and Q, respectively.(a) Show that v is in the kernel of T if and only if vG is in the nullspace of A.(b) Show that w is in the range of T if and only if wQ is in thecolumn space of A.

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