The matrices$$\left[ {\matrix{ {\cos \,\theta } & { - \sin \,\theta } \cr {\sin \,\,\theta } & {\cos \,\,\theta } \cr } } \right]\,\,and$$
$$\left[ {\matrix{ a & 0 \cr 0 & b \cr } } \right]\,$$ commute under multiplication

If A and B are real symmetric matrices of size n x n. Then, which one of the following is true?

A square matrix is singular whenever:

If a, b and c are constants, which of the following is a linear inequality?