1
MHT CET 2020 16th October Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $$A=\left[\begin{array}{rrr}2 & 0 & -1 \\ 5 & 1 & 0 \\ 0 & 1 & 3\end{array}\right]$$ and $$A^{-1}=\left[\begin{array}{rrr}3 & -1 & 1 \\ \alpha & 6 & -5 \\ \beta & -2 & 2\end{array}\right]$$, then the values of $$\alpha$$ and $$\beta$$ are, respectively.

A
$$-15,-5$$
B
$$-15,5$$
C
$$15,-5$$
D
$$15,5$$
2
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $A$ and $B$ are square matrices of order 3 such that $|A|=2,|B|=4$, then $|A(\operatorname{adj} B)|=\ldots$

A
16
B
8
C
64
D
32
3
MHT CET 2019 2nd May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $A$ is non-singular matrix and $(A+I)(A-I)=0$ then $A+A^{-1}=$ .............

A
2A
B
0
C
I
D
3I
4
MHT CET 2019 2nd May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $A=\left[\begin{array}{cc}1+2 i & i \\ -i & 1-2 i\end{array}\right]$, where $i=\sqrt{-1}$, then $A(\operatorname{adj} A)=\ldots$

A
$-2I$
B
$2I$
C
$5I$
D
$4I$
MHT CET Subjects
EXAM MAP