1
COMEDK 2023 Evening Shift
MCQ (Single Correct Answer)
+1
-0

$$A$$ and $$B$$ are invertible matrices of the same order such that $$\left|(A B)^{-1}\right|=8$$ if $$|A|=2$$ then $$|B|$$ is

A
6
B
16
C
4
D
$$\frac{1}{16}$$
2
COMEDK 2023 Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $$2 A+3 B=\left[\begin{array}{ccc}2 & -1 & 4 \\ 3 & 2 & 5\end{array}\right]$$ and $$A+2 B=\left[\begin{array}{lll}5 & 0 & 3 \\ 1 & 6 & 2\end{array}\right]$$ then $$B=$$

A
$$ \left[\begin{array}{ccc} -8 & -1 & -2 \\ 1 & -10 & 1 \end{array}\right] $$
B
$$ \left[\begin{array}{ccc} 8 & 1 & -2 \\ -1 & 10 & -1 \end{array}\right] $$
C
$$ \left[\begin{array}{ccc} 8 & 1 & 2 \\ -1 & 10 & -1 \end{array}\right] $$
D
$$ \left[\begin{array}{ccc} 8 & -1 & 2 \\ -1 & 10 & -1 \end{array}\right] $$
3
COMEDK 2023 Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $$\left[\begin{array}{ccc}2+x & 3 & 4 \\ 1 & -1 & 2 \\ x & 1 & -5\end{array}\right]$$ is a singular matrix, then $$x$$ is

A
$$ \frac{5}{13} $$
B
$$ -\frac{25}{13} $$
C
$$ \frac{13}{25} $$
D
$$ \frac{25}{13} $$
4
COMEDK 2023 Evening Shift
MCQ (Single Correct Answer)
+1
-0

Solution of $$x-y+z=4 ; x-2 y+2 z=9$$ and $$2 x+y+3 z=1$$ is

A
$$ x=3 ; \quad y=6 ; \quad z=9 $$
B
$$ x=-4 ; \quad y=-3 ; \quad z=2 $$
C
$$ x=-1 ; \quad y=-3 ; \quad z=2 $$
D
$$ x=2 ; \quad y=4 ; \quad z=6 $$
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