Show that if C and D are n×n row equivalent matrices, and Cx=0 has a non-trivial solution x !=0, then Dx=0.
Show that if C and D are n×n row equivalent matrices, and Cx=0 has a non-trivial solution x !=0, then Dx=0.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.1: Operations With Matrices
Problem 71E
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Show that if C and D are n×n row equivalent matrices, and Cx=0 has a non-trivial solution x !=0, then Dx=0.
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