(a) Suppose A.B are m x n matrices such that ker A = ker B. Prove that...
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(b) Use this to conclude that if Ax = b and Bx = c have the same solutions then they are equivalent linear systems, i.e., one can be obtained from the other by a sequence of elementary row operations.
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a Since they have the same kernel their ranks are the same Choose a basis v 1 v n of R n ...View the full answer
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