1
COMEDK 2026 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0

If the matrix $M=\left[\begin{array}{ccc}x+5 & a & -4 \\ -2 & 0 & b \\ c & 6 & y+1\end{array}\right]$ is a skew symmetric matrix, the value of the expression $\boldsymbol{a} \boldsymbol{b}+\boldsymbol{c}^{\mathbf{2}}-\boldsymbol{x} \boldsymbol{y}$ is:

A

$-33$

B

$-9$

C

$0$

D

$-1$

2
COMEDK 2026 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0

Let A be a square matrix of order $3 \times 3$. If $|A|=-4$, then the value of $\left|\frac{A^{-1}}{-2}\right|$ is:

A

$-1$

B

$2$

C

$\frac{1}{32}$

D

$-\frac{1}{16}$

3
COMEDK 2026 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0

Matrix $A=\left[\begin{array}{ccc}1 & 1 & 2 \\ 1 & -2 & 2 \\ 1 & 0 & -1\end{array}\right]$,

Given $\boldsymbol{M}_{\mathbf{2 2}}$ and $\boldsymbol{A}_{\mathbf{3 2}}$ are the minor and cofactor of the adjoint matrix of $\boldsymbol{A}$ respectively then the value of the expression $\boldsymbol{M}_{\mathbf{2 2}}+\boldsymbol{A}_{\mathbf{3 2}}-|\boldsymbol{a} \boldsymbol{d} \boldsymbol{j}|$ is:

A

$-729$

B

$-117$

C

$-81$

D

$-99$

4
COMEDK 2026 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0

Let $A=\left[a_{i j}\right]$ be a square matrix of order $3 \times 3$, where the elements are defined as $a_{i j}=\left\{\begin{array}{ll}i-2 j & \text { if } i=j \\ 0 & \text { if } i> j \\ 1 & \text { if } i < j\end{array} \quad\right.$ then the value of $\left|A^t\right|$ is

A

-6

B

1

C

-5

D

-11

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