1
MHT CET 2021 20th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $$A = \left[ {\matrix{ 3 & 2 & 4 \cr 1 & 2 & 1 \cr 3 & 2 & 6 \cr } } \right]$$ and A$$_{ij}$$ are cofactors of the elements a$$_{ij}$$ of A, then $${a_{11}}{A_{11}} + {a_{12}}{A_{12}} + {a_{13}}{A_{13}}$$ is equal to

A
8
B
6
C
4
D
0
2
MHT CET 2020 16th October Morning Shift
MCQ (Single Correct Answer)
+2
-0

The sum of the cofactors of the elements of second row of the matrix $$\left[\begin{array}{rrr}1 & 3 & 2 \\ -2 & 0 & 1 \\ 5 & 2 & 1\end{array}\right]$$ is

A
5
B
$$-$$23
C
3
D
23
3
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
$$15,5$$
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