1
KCET 2023
MCQ (Single Correct Answer)
+1
-0

If $$A=\left[\begin{array}{cc}1 & \tan \alpha / 2 \\ -\tan \alpha / 2 & 1\end{array}\right]$$ and $$A B=I$$, then $$B$$ is equal to

A
$$\cos ^2 \alpha / 2 \cdot A$$
B
$$\cos ^2 \alpha / 2 \cdot I$$
C
$$\sin ^2 \alpha / 2 \cdot A$$
D
$$\cos ^2 \alpha / 2 \cdot A^T$$
2
KCET 2022
MCQ (Single Correct Answer)
+1
-0

If $$A$$ is a matrix of order $$3 \times 3$$, then $$\left(A^2\right)^{-1}$$ is equal to

A
$$\left(-A^2\right)^2$$
B
$$\left(A^{-1}\right)^2$$
C
$$A^2$$
D
$$(-A)^{-2}$$
3
KCET 2022
MCQ (Single Correct Answer)
+1
-0

If $$A=\left[\begin{array}{ll}2 & -1 \\ 3 & -2\end{array}\right]$$, then the inverse of the matrix $$A^3$$ is

A
A
B
$$-1$$
C
1
D
$$-A$$
4
KCET 2022
MCQ (Single Correct Answer)
+1
-0

If $$A$$ is a skew symmetric matrix, then A$$^{2021}$$ is

A
Row matrix
B
Column matrix
C
Symmetric matrix
D
Skew symmetric matrix
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