If $M+M^T$ is positive definite, then $M$ is invertible?
Since the matrix $M+M^T$ is symmetric and positive definite, then the matrix $M + M^T$ is invertible, but I don't know if I can conclude the same about M.
If $M+M^T$ is positive definite, then $M$ is invertible?
Since the matrix $M+M^T$ is symmetric and positive definite, then the matrix $M + M^T$ is invertible, but I don't know if I can conclude the same about M.
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