A. $\begin{bmatrix}1& 2& 3 \[0.3em]2 & 4 & 5 \[0.3em]3 & 5&6 \[0.3em] \end{bmatrix}$ is a Symmetric matrix. B. $\begin{bmatrix}0 &0 &0 \[0.3em]0& 0&0 \[0.3em] \end{bmatrix}$ is a Null matrix. C. $\begin{bmatrix}1& 0& 0 \[0.3em]0 & 2 & 0\[0.3em]0 & 0&3\[0.3em] \end{bmatrix}$ is an Identity matrix. D. $\begin{bmatrix}0& 1&2 \[0.3em]-1 & 0 & 3 \[0.3em]-2 & 3&0\[0.3em] \end{bmatrix}$ is a Skew symmetric matrix. E. $\begin{bmatrix}\sqrt{3} &0& 0\[0.3em]0 & \sqrt{3} & 0 \[0.3em]0 & 0&\sqrt{3} \[0.3em] \end{bmatrix}$ is a Scalar matrix Choose the correct answer from the options given below:

Question

A. $\begin{bmatrix}1& 2& 3   \[0.3em]2 & 4 & 5   \[0.3em]3 & 5&6   \[0.3em] \end{bmatrix}$  is a Symmetric matrix.  B.  $\begin{bmatrix}0 &0 &0   \[0.3em]0& 0&0   \[0.3em] \end{bmatrix}$  is a Null matrix. C.  $\begin{bmatrix}1& 0& 0   \[0.3em]0 & 2 & 0\[0.3em]0 & 0&3\[0.3em] \end{bmatrix}$  is an Identity matrix. D.  $\begin{bmatrix}0& 1&2   \[0.3em]-1 & 0 & 3   \[0.3em]-2 & 3&0\[0.3em] \end{bmatrix}$  is a Skew symmetric matrix. E.  $\begin{bmatrix}\sqrt{3} &0& 0\[0.3em]0 & \sqrt{3} & 0   \[0.3em]0 & 0&\sqrt{3}   \[0.3em] \end{bmatrix}$  is a Scalar matrix Choose the correct answer from the options given below:

cdquestions Admin · Accepted Answer

The correct option is (A): A, B, E only

Answer

A, B, E only

Answer

Answer

Answer

B, D, E only

LIST I		LIST II
A.	Singular Matrix	I.	Determinant is always one.
B.	Real Symmetric Matrix	II.	Digonal element are necessarily either purely imaginary or zero
C.	Skew-Hermitian Matrix	III.	Eigen values are always Real
D.	Orthogonal Matrix	IV.	Determinant is always zero

List - I	List -II
(A) Null Matrix	(I)\(P(A)+P(B)\)
(B) Scaler Matrix	(II)\(P(A)+P(B)-2P(A\cap B)\)
(C) Skew-symmetric matrix	(III)\(P(B)-P(A\cap B)\)
(D)Symmetric Matrix	(IV)\(P(B)-P(A\cap B)\)

The Correct Option is A

Solution and Explanation

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