Question

If $A,BandC$ are three square matrices of the same order, then $AB=AC\Rightarrow B=C$ if

• A. $|A|\ne 0$
• B. $A$ is invertible
• C. $A$ is orthogonal
• D. $A$ is symmetric

Answer 1

Answer: (A), (B), (C)

The correct options are
A $|A|\ne 0$
B $A$ is invertible
C $A$ is orthogonal

$AB=AC\Rightarrow B=C$

When $\left|A\right|\ne 0$

Hence $A$ in invertible and orthogonal