List of top Atmospheric Science Questions on Matrices

If \( A = \begin{bmatrix} 1 & 2 & -1 \\ 3 & 4 & 2 \\ 2 & 0 & 1 \end{bmatrix} \) and \( B = \begin{bmatrix} 1 & 3 \\ -4 & 0 \\ 2 & 5 \end{bmatrix} \) are two matrices, then which one of the following is incorrect:
Which of the following statements are correct?
A. In a skew-symmetric matrix, all diagonal elements are zero.
B. A square matrix is called a diagonal matrix if all its non-diagonal elements are one.
C. If the determinant of the matrix is zero, then the matrix is known as non-singular matrix.
D. The product of a matrix A and its adjoint is equal to unit matrix multiplied by the determinant A.