1
MHT CET 2021 24th September Evening Shift
+2
-0

If $$A=\left[\begin{array}{ccc}1 & 2 & 3 \\ -1 & 1 & 2 \\ 1 & 2 & 4\end{array}\right]$$, and $$A(\operatorname{adj} A)=k I$$, then the value of $$(k+1)^4$$ is

A
256
B
81
C
16
D
625
2
MHT CET 2021 24th September Evening Shift
+2
-0

IF $$A X=B$$, where $$A=\left[\begin{array}{ccc}1 & -1 & 1 \\ 2 & 1 & -3 \\ 1 & 1 & 1\end{array}\right], X=\left[\begin{array}{l}x \\ y \\ z\end{array}\right], B=\left[\begin{array}{l}4 \\ 0 \\ 2\end{array}\right]$$, then $$2 x+y-z=$$

A
2
B
1
C
4
D
$$-$$2
3
MHT CET 2021 24th September Morning Shift
+2
-0

$$\text { If } A=\left[\begin{array}{ll} 2 & -2 \\ 2 & -3 \end{array}\right], B=\left[\begin{array}{cc} 0 & -1 \\ 1 & 0 \end{array}\right] \text {, then }\left(B^{-1} A^{-1}\right)^{-1}=\text { ? }$$

A
$$A=\left[\begin{array}{ll}-2 & -2 \\ -3 & -2\end{array}\right]$$
B
$$A=\left[\begin{array}{cc}2 & 2 \\ -2 & -3\end{array}\right]$$
C
$$A=\left[\begin{array}{cc}3 & -2 \\ 2 & 2\end{array}\right]$$
D
$$A=\left[\begin{array}{cc}1 & -1 \\ -2 & 3\end{array}\right]$$
4
MHT CET 2021 24th September Morning Shift
+2
-0

If $$A=\left[\begin{array}{lll}1 & 2 & 3 \\ 1 & 1 & a \\ 2 & 4 & 7\end{array}\right]$$ and $$B=\left[\begin{array}{ccc}13 & 2 & b \\ -3 & -1 & 2 \\ -2 & 0 & 1\end{array}\right]$$ where matrix B is inverse of matrix A, then the value of a and b are

A
$$\mathrm{a}=-5, \mathrm{~b}=7$$
B
$$\mathrm{a=7, b=-5}$$
C
$$\mathrm{a=-7, b=5}$$
D
$$\mathrm{a}=5, \mathrm{~b}=-7$$
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Medical
NEET