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.© BrainMass Inc. brainmass.com March 4, 2021, 6:52 pm ad1c9bdddf
Yes, A^-1 ( inverse of matrix A) is a SPD matrix.
Proof. Since A is a symmetric and positive definite ...
An SPD Matrix and its Inverse are investigated.