SOLVED: If A is an n X n matrix, then which of the following statements is NOT equivalent to the statement that A is an invertible matrix?(A:) The matrix A is row equivalent to the n X n identity matrix: (B.) The rank of the matrix A is n. (C.) The determinant of A is not equal to 0. (D.) The equation Ax = 0 has nontrivial solution. (E:) The columns of A form basis for Rn

SOLVED: 15. Let A be an n X n nonsingular matrix. Use the Cayley-Hamilton theorem to express A-' as polynomial in A

36 show that the number of independent real parameters for an nxn 1 real symmetric matrix is nn12 2 real antisymmetric matrix is nn 12 3 real orthogonal matrix is nn 12 4 complex unitary mat 98597