medium · Quantitative Finance

If a symmetric matrix A is known to be positive definite, what can be said about the inverse matrix A^-1?

  1. The inverse matrix A^-1 is an upper triangular matrix.
  2. The inverse matrix A^-1 is negative definite.
  3. The inverse matrix A^-1 has a determinant equal to the negative of det(A).
  4. The inverse matrix A^-1 is also symmetric and positive definite.

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