1
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

$B^2$

2
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

3
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

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

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

If the unique solution of the simultaneous linear equations $3 x-2 y+z=5 k, 2 x+3 y-2 z=-5 k$, $x+4 y+3 z=k$ is $x=\alpha, y=\beta, z=3$, then $k=$

A

1

B

2

C

-1

D

-2

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