SOLUTION: Let A= [-8 6 0; -9 7 0; 27 -18 1]. Find an invertible matrix X and a diagonal matrix D such that D=X^−1AX.

Question 1161348: Let A= [-8 6 0; -9 7 0; 27 -18 1]. Find an invertible matrix X and a diagonal matrix D such that D=X^−1AX.
Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!

First diagonalize matrix A, that is find

D and X such that 



Left-multiply both sides by X^-1



Right multiply both sides by X



Re=group which we can do because matrix multiplication is associative.









Now you diagonalize A.  If you need help let me know below
and I'll get back to you by email.

Edwin

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