Diagnolize the following matrix A. A = ([-3,10,-6],[0,7,-6],[0,0,1]) (Find D and C so that AC=DC)   I believe D should be based on the Eigen Values where it is ([1,0,0],[0,-3,0],[0,0,7]) but having trouble solving for C

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.3: Multiplication Of Matrices
Problem 13E: To find the product matrix AB. the number of _______________ of A must be the same as the number of...
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Diagnolize the following matrix A.

A = ([-3,10,-6],[0,7,-6],[0,0,1])

(Find D and C so that AC=DC)

 

I believe D should be based on the Eigen Values where it is ([1,0,0],[0,-3,0],[0,0,7]) but having trouble solving for C

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