Suppose that A is an m n matrix. Define the linear transformation T by T: Cn

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Suppose that A is an m × n matrix. Define the linear transformation T by
T: Cn → Cm, T (x) = Ax
Prove that the range of T equals the column space of A, R(T) = C(A).
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Linear Algebra

ISBN: 9780982406212

1st Edition

Authors: Jim Hefferon

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