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What is Proving I-P is Positive Definite about?

If a matrix P is positive definite, then the identity matrix I minus P is also positive definite. This is because for any vector x, x transpose multiplied by I - P multiplied by x equals the transpose of (I - P)x multiplied by (I - P)x, which is greater than or equal to 0. Therefore, I-P is positive definite.

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