48
$\left(A^3\right)^{-1}=\left(A^{-1}\right)^3$, where $A$ is a square matrix and $|A| \neq 0$.
A
TRUE
B
FALSE
49
$(a A)^{-1}=\frac{1}{a} A^{-1}$, where $a$ is any real number and $A$ is a square matrix.
A
TRUE
B
FALSE
50
$\left|A^{-1}\right| \neq|A|^{-1}$, where $A$ is a non-singular matrix.
A
TRUE
B
FALSE
51
If $A$ and $B$ are matrices of order 3 and $|A|=5,|B|=3$, then $|3 A B|=27 \times 5 \times 3=405$.
A
TRUE
B
FALSE
52
If the value of a third order determinant is 12 , then the value of the determinant formed by replacing each element by its cofactor will be 144.
A
TRUE
B
FALSE