1
KCET 2021
MCQ (Single Correct Answer)
+1
-0

If $$A$$ and $$B$$ are matrices of order 3 and $$|A|=5,|B|=3$$, then $$|3 A B|$$ is

A
425
B
405
C
565
D
585
2
KCET 2021
MCQ (Single Correct Answer)
+1
-0

If $$A$$ and $$B$$ are invertible matrices then which of the following is not correct?

A
$$\operatorname{adj} A=|A| A^{-1}$$
B
$$\operatorname{det}\left(A^{-1}\right)=[\operatorname{det}(A)]^{-1}$$
C
$$(A B)^{-1}=B^{-1} A^{-1}$$
D
$$(A+B)^{-1}=B^{-1}+A^{-1}$$
3
KCET 2021
MCQ (Single Correct Answer)
+1
-0

If $$x^3-2 x^2-9 x+18=0$$ and $$A=\left|\begin{array}{lll}1 & 2 & 3 \\ 4 & x & 6 \\ 7 & 8 & 9\end{array}\right|$$ then the maximum value of $$A$$ is

A
96
B
36
C
24
D
120
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