Q. The eigen values of a skew-symmetric matrix are
Solution:
- Eigen values of a skew symmetric matrix are either zero or pure imaginary.
- Eigen values of a real symmetric matrix are always real.
- The sum of the eigenvalues of a matrix is the same as the trace of the matrix (that is, the sum of the diagonal elements of that matrix.).
- The product of the eigenvalues of a matrix is the same as the determinant of the matrix.
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