Analytic function of a matrix: Difference between revisions

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Diagonalizable matrices: Corrected typo in matrix
Diagonalizable matrices: factorial notation is normally used only for positive integer + fixing a confusion between \Gamma and !
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where <math>d_1, \dots, d_n</math> denote the diagonal entries of ''D''.
 
For example, suppose one is seeking <math>\Gamma(A!) = \Gamma(A+-1)!</math> for
:<math>A= \begin{bmatrix}
1&3\\
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Application of the formula then simply yields
:<math> \Gamma(A!) = \begin{bmatrix}
1/2 & 1/2 \\
-\frac{1}{\sqrt{6} } & \frac{1}{\sqrt{6} }