1
TS EAMCET 2023 (Online) 13th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $x=\alpha, y=\beta, z=\gamma$ is the unique solution of the system of linear equations $2 x-3 y+5 z=12,5 x+2 y+3 z=11$ and $x+2 y-3 z=-3$, then $2 \alpha+5 \beta+3 \gamma=$

A

10

B

11

C

3

D

2

2
TS EAMCET 2023 (Online) 13th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

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

A

$A-B$

B

$B-A$

C

$A+B$

D

$B^2$

3
TS EAMCET 2023 (Online) 13th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$ \left|\begin{array}{lll} 2 & 3 & 5 \\ 3 & 5 & 2 \\ 5 & 2 & 3 \end{array}\right|+\left|\begin{array}{ccc} 1 & 1 & 1 \\ 7 & 11 & 13 \\ 49 & 121 & 169 \end{array}\right|= $$

A

32

B

-67

C

93

D

-22

4
TS EAMCET 2023 (Online) 13th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $A=\left[\begin{array}{ccc}k & 5 & 2 \\ 2 & -k & 5 \\ 5 & 2 & -k\end{array}\right]$ and $\operatorname{det} A=190$, then $\operatorname{adj} A=$

A

$\left[\begin{array}{ccc}-1 & 19 & 31 \\ 31 & -19 & -11 \\ 19 & 19 & -19\end{array}\right]$

B

$\left[\begin{array}{ccc}-1 & 31 & 19 \\ 19 & -19 & 19 \\ 31 & -11 & -19\end{array}\right]$

C

$\left[\begin{array}{ccc}-1 & 19 & 31 \\ -31 & -19 & -11 \\ 19 & 19 & -19\end{array}\right]$

D

$\left[\begin{array}{ccc}-1 & -31 & 19 \\ 19 & -19 & 19 \\ 31 & -11 & -19\end{array}\right]$

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