True/False: A matrix is symmetric if .
True/False: A matrix is orthogonal if it has orthogonal columns.
Suppose is orthogonally diagonalizable with . Which of the following statements
must be true?
is symmetric. The columns of are unit vectors. The columns of are
unit vectors.
Suppose is a symmetric matrix. Which of the following statements could be true?
has less than 5 eigenvalues counting multiplicity. has more than 5 eigenvalues
counting multiplicity. has 5 distinct eigenvalues. has 5 eigenvalues counting
multiplicity.
True/False: The dimension of an eigenspace of a symmetric matrix equals the
multiplicity of the corresponding eigenvalue