Question

For matrices of same dimension M, N and scalar c, which one of these properties DOES NOT ALWAYS hold?

• A. $(M^T{)}^T=M$
• B. $(cM{)}^T=c(M{)}^T$
• C. $(M+N{)}^T=M^T+N^T$
• D. $MN=NM$

Answer 1

The correct option is D $MN=NM$

In general $MN=NM$, (Matrix multiplication is not commmutative)