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Exercise 3.2.9

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If $B$ is obtained from a matrix $A$ by an elementary column operation, then there exists an elementary matrix such that $B = AE$ . By Theorem 3.2, $E$ is invertible, and hence rank $(B) =$ rank $(A)$ by Theorem 3.4.

jephianlin

2011-06-27 00:00

Exercise 3.2.9

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