State which of the statement is false?

Options

A. For three matrices A,B and C, the relation CA = CB always implies A = B.
B. A square matrix A can be expressed as the sum of a symmetric and a skew-symmetric matrix.
C. Matrices `Ane0, Bne0` can imply AB = 0 where 0 is the null matrix.
D. A square matrix of order 3 is said to be orthogonal if `"AA"^(T)=A^(T)A = I` where I is the unit matrix of order 3.

Answer

A