1
CBSE 12th Mathematics Delhi Set 1 - 2024
MCQ (Single Correct Answer)
+1
-0

If $A=\left[\begin{array}{ccc}a & c & -1 \\ b & 0 & 5 \\ 1 & -5 & 0\end{array}\right]$ is a skew-symmetric matrix, then the value of $2 a-(b+c)$ is

A
0
B
1
C
$-$10
D
10
2
CBSE 12th Mathematics Delhi Set 1 - 2024
MCQ (Single Correct Answer)
+1
-0

If $A$ is a square matrix of order 3 such that the value of $\mid$ adj. $A \mid=8$, then the value of $\left|\mathrm{A}^{\mathrm{T}}\right|$ is

A
$\sqrt{2}$
B
$-\sqrt{2}$
C
8
D
$2 \sqrt{2}$
3
CBSE 12th Mathematics Delhi Set 1 - 2024
MCQ (Single Correct Answer)
+1
-0

If inverse of matrix $\left[\begin{array}{ccc}7 & -3 & -3 \\ -1 & 1 & 0 \\ -1 & 0 & 1\end{array}\right]$ is the matrix $\left[\begin{array}{lll}1 & 3 & 3 \\ 1 & \lambda & 3 \\ 1 & 3 & 4\end{array}\right]$ then value of $\lambda$ is

A
$-$4
B
1
C
3
D
4
4
CBSE 12th Mathematics Delhi Set 1 - 2024
MCQ (Single Correct Answer)
+1
-0

If $\left[\begin{array}{lll}x & 2 & 0\end{array}\right]\left[\begin{array}{c}5 \\ -1 \\ x\end{array}\right]=\left[\begin{array}{ll}3 & 1\end{array}\right]\left[\begin{array}{c}-2 \\ x\end{array}\right]$, then value of $x$ is

A
$-$1
B
0
C
1
D
2
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