1
AP EAPCET 2022 - 5th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $$A=\left[\begin{array}{lll}3 & -3 & 4 \\ 2 & -3 & 4 \\ 0 & -1 & 1\end{array}\right]$$, then $$A A^T$$ is a

A
symmetric matrix
B
skew-symmetric matrix
C
singular matrix
D
inverse of $$A$$
2
AP EAPCET 2022 - 5th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $$A X=D$$ represents the system of simultaneous linear equations $$x+y+z=6, 5 x-y+2 z=3$$ and $$2 x+y-z=-5$$, then (Adj $$A$$) $$D=$$

A
$$\left[\begin{array}{c}8 \\ -16 \\ 40\end{array}\right]$$
B
$$\left[\begin{array}{c}32 \\ 64 \\ -160\end{array}\right]$$
C
$$\left[\begin{array}{c}-16 \\ 32 \\ 80\end{array}\right]$$
D
$$\left[\begin{array}{l}12 \\ 24 \\ 60\end{array}\right]$$
3
AP EAPCET 2022 - 5th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $$A=\left[\begin{array}{ll}1 & 0 \\ 2 & 1\end{array}\right], B=\left[\begin{array}{ll}1 & 3 \\ 0 & 1\end{array}\right]$$, then $$\operatorname{det}\left(A^6+B^6\right)=$$

A
$$-68$$
B
$$-106$$
C
$$665$$
D
$$720$$
4
AP EAPCET 2022 - 5th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

Let $$G(x)=\left[\begin{array}{ccc}\cos x & -\sin x & 0 \\ \sin x & \cos x & 0 \\ 0 & 0 & 1\end{array}\right]$$. If $$x+y=0$$ then $$G(x) G(y)=$$

A
null Matrix
B
skew-symmetric Matrix
C
identity Matrix
D
symmetric Matrix
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