# Linear Algebra : An SPD Matrix and Inverse

Let A be a symmetric and positive definite (SPD) matrix. Is A^-1 ( inverse of matrix A) a SPD matrix? If so, prove it. If not, explain and give an example.

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#### Solution Preview

Yes, A^-1 ( inverse of matrix A) is a SPD matrix.

Proof. Since A is a symmetric and positive definite ...

#### Solution Summary

An SPD Matrix and its Inverse are investigated.

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