Q7Multiple correct2 Marks2 Apr 2023

Which of the following options are true?

A

If the rows of a $3\times4$ matrix $A$ are linearly independent, then $AA^T$ is invertible.

B

If the columns of a $4\times3$ matrix $A$ are linearly independent, then $A^TA$ is invertible.

C

If the rows of a $3\times4$ matrix $A$ are linearly independent, then $A^TA$ is invertible.

D

If the columns of a $4\times3$ matrix $A$ are linearly independent, then $AA^T$ is invertible.