A group of nonsingular matrices includes AB and A 1 if it includes A and B. Products and
Chapter 6, Problem 6.2.43(choose chapter or problem)
A group of nonsingular matrices includes AB and A 1 if it includes A and B. Products and inverses stay in the group. Which of these sets are groups? Positive definite symmetric matrices A, orthogonal matrices Q, all exponentials etA of a fixed matrix A, matrices P with positive eigenvalues, matrices D with determinant 1. Invent a group containing only positive definite matrices.
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