Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question

Let A and P be a nxn matrices and P is invertible.

Show that A and PA have the same rank  

 

Step 1: Show that A and PA have the same null space

 

....

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Step 1: Rank-Nullity Theorem
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Step 2: To show null(PA)=null(A)
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