I am struggling with how you manipulate a matrix equation to solve for another. For example, I am trying to find the matrix that satisfies a given set of eigenvalues and eigenvectors, and I know that: $$ \mathbf{P^{-1}AP=D}$$ But how would I go about solving for matrix $ \mathbf{A}$? I see in the book it is given as: $$ \mathbf{A=PDP^{T}} $$ but not really sure how they got to that.
2026-03-28 12:48:21.1774702101
How do you solve for a matrix by rearranging a matrix equation?
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