1
COMEDK 2025 Evening Shift
MCQ (Single Correct Answer)
+1
-0
Value of the determinant of a matrix $A$ of order $3 \times 3$ is 7 . Then the value of the determinant formed by the cofactors of matrix A is
A
7
B
49
C
14
D
343
2
COMEDK 2025 Evening Shift
MCQ (Single Correct Answer)
+1
-0
If $A=\left[\begin{array}{ccc}4 & \lambda & -3 \\ 0 & 2 & 5 \\ 1 & 1 & 3\end{array}\right]$ then $A^{-1}$ exists if :
A
$\lambda=2$
B
$\lambda=0$
C
$\lambda \neq 2$
D
$\lambda \neq-2$
3
COMEDK 2025 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0
If $A=\frac{1}{\pi}\left[\begin{array}{cc}\sin ^{-1} \frac{1}{2} & \tan ^{-1} \frac{x}{\pi} \\ \sin ^{-1} \frac{x}{\pi} & \cot ^{-1} \sqrt{3}\end{array}\right] \quad B=\frac{1}{\pi}\left[\begin{array}{cc}-\cos ^{-1} \frac{1}{2} & \tan ^{-1} \frac{x}{\pi} \\ \sin ^{-1} \frac{x}{\pi} & -\tan ^{-1} \sqrt{3}\end{array}\right]$ and I is an identity matrix of order $2 \times 2$, then $A-B=$
A
2I
B
$\frac{1}{2}I$
C
I
D
0
4
COMEDK 2025 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0
If $A=\left[\begin{array}{ccc}0 & -1 & 2 \\ 1 & 0 & 3 \\ -2 & -3 & 0\end{array}\right]$, then $A+2 A^T=$
A
$-A^T$
B
$A^T$
C
$2 A^2$
D
$A$
COMEDK Subjects
EXAM MAP