SOLUTION: Let A=[46 −78 ; 26 −45]. Find two different diagonal matrices D and the corresponding matrix S such that A=SDS^−1.

Algebra ->  College  -> Linear Algebra -> SOLUTION: Let A=[46 −78 ; 26 −45]. Find two different diagonal matrices D and the corresponding matrix S such that A=SDS^−1.       Log On


   

Question 1161346: Let A=[46 −78 ; 26 −45].
Find two different diagonal matrices D and the corresponding matrix S such that A=SDS^−1.
Answer by Edwin McCravy(20064) About Me  (Show Source):
You can put this solution on YOUR website!
One way is this:



Swap the columns on the left matrix,
Swap the eigenvalues on the middle matrix,
Swap the rows on the matrix on the right, which is the inverse of the left matrix.



Edwin