Q9Multiple correct3 Marks4 Aug 2024

Select all true statements.

A

For a matrix $A$ of dimensions $m\times n$, the rank of the matrix is equal to $\min\{m,n\}$.

B

The nullity of an invertible matrix is always zero.

C

For a matrix $A$ of dimensions $m\times n$, the row space of $A$ is the same as the column space of $A$.

D

If $A$ and $B$ are square matrices of order $n$ such that $\operatorname{rank}(AB)=n$, then both $A$ and $B$ must be invertible.