1
TS EAMCET 2023 (Online) 14th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
  1. If the system of equations $x+y+z=5, x+2 y+2 z=6$ and $x+3 y+\lambda z=\mu(\lambda, \mu \in R)$ is solvable by Matrix Inversion Method, then

A

$\lambda \neq 3, \mu \in R$

B

$\lambda=3, \mu=0$

C

$\lambda \neq 3, \mu \neq 5$

D

$\lambda=3, \mu \in R$

2
TS EAMCET 2023 (Online) 14th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $A$ is a square matrix of order $3, \operatorname{then}\left|\operatorname{Adj}\left(\operatorname{Adj} A^2\right)\right|=$

A

$|A|^2$

B

$|A|^4$

C

$|A|^8$

D

$|A|^{16}$

3
TS EAMCET 2023 (Online) 14th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $A$ and $B$ are two square matrices of the same order and $(A B+B A)^T+(A B-B A)^T=2 B A$, then

A

$A$ and $B$ are both symmetric matrices but not skew-symmetric matrices

B

$A$ and $B$ are both skew-symmetric matrices but not symmetric matrices

C

$A$ and $B$ are neither symmetric nor skew-symmetric matrices

D

$A$ and $B$ are any two non-zero matrices

4
TS EAMCET 2023 (Online) 14th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $\operatorname{adj}\left[\begin{array}{ccc}1 & 0 & 2 \\ -1 & 1 & -2 \\ 0 & 2 & 1\end{array}\right]=\left[\begin{array}{ccc}5 & m & -2 \\ 1 & 1 & 0 \\ -2 & -2 & n\end{array}\right]$, then $m+n=$

A

2

B

-3

C

5

D

-5

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