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edit approved Jun 28, 2018 at 0:13
Rodrigo de Azevedo
edit approved Jun 28, 2018 at 0:13
Rodrigo de Azevedo
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positive Positive definite matrices diagonalised by orthogonals whichorthogonal matrices that are also involutions

Let $A$ be a positive definite matrix. Then, $A$ is diagonalized by an orthogonal matrix $P$.

I want to know, when this matrix is also an involution, i. iee., $P^2 = I$.

If there is any characterization of such $A$, please kindly share.

  Thank you.

positive matrices diagonalised by orthogonals which are also involutions

Let $A$ be a positive definite matrix. Then $A$ is diagonalized by an orthogonal matrix $P$.

I want to know, when this matrix is also an involution. ie. $P^2 = I$.

If there is any characterization of such $A$ kindly share.

  Thank you.

Positive definite matrices diagonalised by orthogonal matrices that are also involutions

Let $A$ be a positive definite matrix. Then, $A$ is diagonalized by an orthogonal matrix $P$.

I want to know when this matrix is also an involution, i.e., $P^2 = I$.

If there is any characterization of such $A$, please kindly share. Thank you.

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GA316
GA316
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positive matrices diagonalised by orthogonals which are also involutions

Let $A$ be a positive definite matrix. Then $A$ is diagonalized by an orthogonal matrix $P$.

I want to know, when this matrix is also an involution. ie. $P^2 = I$.

If there is any characterization of such $A$ kindly share.

Thank you.