Let L: Rn Rm be a linear transformation defined by L(x) = Ax, for x in R.

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Let L: Rn Rm be a linear transformation defined by L(x) = Ax, for x in R". Prove that L is onto if and only if rank A = m.

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Elementary Linear Algebra with Applications

ISBN: 978-0132296540

9th edition

Authors: Bernard Kolman, David Hill

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Question Posted: Jun 21, 2016 07:11 AM

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Let L: Rn Rm be a linear transformation defined by L(x) = Ax, for x in R.

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Let L R n R m is defined by Lx Ax where A is m n suppose that L is onto ...View the full answer

Elementary Linear Algebra with Applications

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