Jun 29, 2012 · I was wondering if there is such a valid operation as raising a matrix to the power of a matrix, e.g ...

Evaluate the eigenvalues and also the matrix P and D so $ A=PDP^{-1} $ then $ A^{n} =PD^{n}P^{-1} $ since the matrix D is diagonal then $ D^{n} $ has the element

Mar 20, 2022 · Find the power of the matrix. Ask Question Asked 3 years ago. Modified 2 years, 10 months ago. Viewed 1k ...

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Aug 27, 2014 · Power of a matrix, given its jordan form. Ask Question Asked 10 years, 7 months ago. Modified 10 years, 7 ...

An easy way to see this is to take the matrix over $\mathbb{C}$ where the minimal polynomial splits. This means that the matrix is triangularizable. The spectrum of the matrix appear on the …

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Edit 1 Also theres another property of matrix A that its diagonals consists always of 0 & other elements either 0 or 1. Can we do this just by involving matrix multiplication ? matrices

Any unitarily diagonalizable matrix with positive eigenvalues is automatically positive definite. $\endgroup$ – Ben Grossmann Commented Feb 21, 2016 at 18:01