1
MHT CET 2021 21th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $$F(\propto)=\left[\begin{array}{ccc}\cos \propto & -\sin \propto & 0 \\ \sin \propto & \cos \propto & 0 \\ 0 & 0 & 1\end{array}\right]$$, where $$\propto \in R$$, then $$[F(\propto)]^{-1}=$$

A
$$F(-\propto)$$
B
$$\mathrm{F}(2 \propto)$$
C
$$F(\propto)$$
D
$$F(3 \propto)$$
2
MHT CET 2021 21th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $$A=\left[\begin{array}{ccc}1 & 0 & 2 \\ -1 & 1 & -2 \\ 0 & 2 & 1\end{array}\right], \operatorname{adj} A=\left[\begin{array}{ccc}5 & x & -2 \\ 1 & 1 & 0 \\ -2 & -2 & y\end{array}\right]$$, then value of $$x+y$$ is

A
6
B
3
C
4
D
5
3
MHT CET 2021 21th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

$$\mathrm{A}^{-1}=\frac{-1}{2}\left[\begin{array}{cc}1 & -4 \\ -1 & 2\end{array}\right]$$, then $$2 A+I_2=\quad$$

where $$I_2$$ is a unit matrix of order 2

A
$$\left[\begin{array}{ll}5 & 8 \\ 1 & 2\end{array}\right]$$
B
$$\left[\begin{array}{ll}5 & 8 \\ 2 & 2\end{array}\right]$$
C
$$\left[\begin{array}{ll}2 & 4 \\ 1 & 1\end{array}\right]$$
D
$$\left[\begin{array}{ll}5 & 8 \\ 2 & 3\end{array}\right]$$
4
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The co-factors of the elements of second column of $$\left[\begin{array}{ccc}1 & -1 & 2 \\ 3 & 2 & 1 \\ -1 & 3 & 4\end{array}\right]$$ are

A
$$-13,6,5$$
B
$$13,5,6$$
C
$$13,-6,-5$$
D
$$-13,-6,5$$
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