1
COMEDK 2024 Evening Shift
MCQ (Single Correct Answer)
+1
-0

If the matrix $A$ is such that $$A\left(\begin{array}{cc}-1 & 2 \\ 3 & 1\end{array}\right)=\left(\begin{array}{cc}-4 & 1 \\ 7 & 7\end{array}\right)$$ then $$A$$ is equal to

A
$$\left(\begin{array}{cc}1 & 1 \\ 2 & -3\end{array}\right)$$
B
$$\left(\begin{array}{cc}-1 & 1 \\ 2 & 3\end{array}\right)$$
C
$$\left(\begin{array}{cc}1 & 1 \\ -2 & 3\end{array}\right)$$
D
$$\left(\begin{array}{cc}1 & -1 \\ 2 & 3\end{array}\right)$$
2
COMEDK 2024 Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $$A=\left[\begin{array}{ccc}0 & x & 16 \\ x & 5 & 7 \\ 0 & 9 & x\end{array}\right]$$ is a singular matrix then $$x$$ is equal to

A
$$-12$$
B
21
C
$$-144$$
D
144
3
COMEDK 2023 Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $$A=\left[\begin{array}{ll}2 & 2 \\ 3 & 4\end{array}\right]$$, then $$A^{-1}$$ equals to

A
$$\left[\begin{array}{cc}2 & 1 \\ -3 / 2 & -1\end{array}\right]$$
B
$$\left[\begin{array}{cc}2 & -1 \\ -3 / 2 & 1\end{array}\right]$$
C
$$\left[\begin{array}{cc}-2 & 1 \\ 3 / 2 & -1\end{array}\right]$$
D
$$\left[\begin{array}{cc}-2 & -1 \\ 3 / 2 & 1\end{array}\right]$$
4
COMEDK 2023 Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $$A$$ is a matrix of order $$4 \operatorname{such}$$ that $$A(\operatorname{adj} A)=10 \mathrm{~I}$$, then $$|\operatorname{adj} A|$$ is equal to

A
10
B
100
C
1000
D
10000
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