1
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
$$(A+B)^{-1}=B^{-1}+A^{-1}$$
2
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
3
KCET 2020
MCQ (Single Correct Answer)
+1
-0

If $$A=\left(\begin{array}{lll}0 & 0 & 1 \\ 0 & 1 & 0 \\ 1 & 0 & 0\end{array}\right)$$ then $$A^4$$ is equal to

A
A
B
2A
C
I
D
4A
4
KCET 2020
MCQ (Single Correct Answer)
+1
-0

If $$\left(\begin{array}{ll}2 & 1 \\ 3 & 2\end{array}\right) A=\left(\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right)$$ then the matrix $$a$$ is

A
$$\left(\begin{array}{ll}2 & 1 \\ 3 & 2\end{array}\right)$$
B
$$\left(\begin{array}{cc}2 & -1 \\ -3 & 2\end{array}\right)$$
C
$$\left(\begin{array}{cc}-2 & 1 \\ 3 & -2\end{array}\right)$$
D
$$\left(\begin{array}{cc}2 & -1 \\ 3 & 2\end{array}\right)$$
KCET Subjects
EXAM MAP