Question

Problem 11. (8.1/15) If A is invertible and orthogonally diagonalizable, is $A^{-1}$ orthogonally diagonalizable as well?

          Problem 11. (8.1/15) If A is invertible and orthogonally diagonalizable, is $A^{-1}$ orthogonally diagonalizable as well?
        
Problem 11. (8.1/15) If A is invertible and orthogonally diagonalizable, is A^-1 orthogonally diagonalizable as well?

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Elementary and Intermediate Algebra
Elementary and Intermediate Algebra
Alan S. Tussy, R. David Gustafson 5th Edition
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p11 Problem 11.8.1/15 If A is invertible and orthogonally diagonalizable,is A-orthogonally diagonalizable a well?
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Transcript

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00:01 Hello, so if a is invertible and orthogonally diagonal, then we can write s inverse a is equal to d.
00:12 If we take the inverse, we find that s inverse a, s equal to d...
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