A First Course in Linear Algebra · Problem LI.T50

Vectors — Robert Beezer

Mathematics — Linear Algebra · linear-independence-proofs

Problem

Suppose that AA is an m×nm \times n matrix with linearly independent columns and the linear system LS(A,b)\mathcal{LS}(A, \mathbf{b}) is consistent. Show that this system has a unique solution. (Notice that we are not requiring AA to be square.)

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