- A matrix and its inverse have the same eigen values if
*A*is orthogonal.**Ans:**T - Two linearly independent eigenvectors may correspond to an eigenvalue
*λ*of a matrix.**Ans: T** - Cayley–Hamilton Theorem is applicable to every matrix.
**Ans:**F - A square matrix with repeated eigenvalues is not diagonalizable.
**Ans:**F - Powers of a square matrix can be found using diagonalization.
**Ans:**T - Every real square matrix can be uniquely expressed as the sum of a symmetric and a skew-symmetric matrix.
**Ans:**T - If
*A*and*B*are symmetric then*AB*is symmetric.**Ans:**F#### Chapter 2 Quadratic Forms

- If
*A*is a symmetric matrix with distinct eigenvalues then its eigenvectors are orthogonal.**Ans: T** - A square matrix with two ...

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