If A and B are 3 times 3 matrices and |A| neq | vedclass

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(D) Given that $A$ and $B$ are $3 	imes 3$ matrices and $|A| 
eq 0$.$1$. For the property $|AB| = 0$,we know that $|AB| = |A| \cdot |B|$.Since $|A|

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Both $(A)$ and $(C)$

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(D) Given that $A$ and $B$ are $3 	imes 3$ matrices and $|A| 
eq 0$.$1$. For the property $|AB| = 0$,we know that $|AB| = |A| \cdot |B|$.Since $|A| 
eq 0$,for $|AB| = 0$ to hold,we must have $|B| = 0$. Thus,statement $(A)$ is true.$2$. Statement $(B)$ is false because $|AB| = 0$ implies $|B| = 0$,which does not necessarily mean the matrix $B$ is the zero matrix (it could be a singular matrix).$3$. For statement $(C)$,we know $AA^{-1} = I$. Taking the determinant on both sides,we get $|AA^{-1}| = |I|$.This implies $|A| \cdot |A^{-1}| = 1$,so $|A^{-1}| = \frac{1}{|A|} = |A|^{-1}$. Thus,statement $(C)$ is true.Since both $(A)$ and $(C)$ are true,the correct option is $(D)$.

If $A$ and $B$ are $3 \times 3$ matrices and $|A| \neq 0$,then which of the following are true?

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