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Question

Mathematics Question on Types of Matrices

A. [123\[0.3em]245\[0.3em]356\[0.3em]]\begin{bmatrix}1& 2& 3 \\\[0.3em]2 & 4 & 5 \\\[0.3em]3 & 5&6 \\\[0.3em] \end{bmatrix} is a Symmetric matrix.
B. [000\[0.3em]000\[0.3em]]\begin{bmatrix}0 &0 &0 \\\[0.3em]0& 0&0 \\\[0.3em] \end{bmatrix} is a Null matrix.
C. [100\[0.3em]020\[0.3em]003\[0.3em]]\begin{bmatrix}1& 0& 0 \\\[0.3em]0 & 2 & 0\\\[0.3em]0 & 0&3\\\[0.3em] \end{bmatrix} is an Identity matrix.
D. [012\[0.3em]103\[0.3em]230\[0.3em]]\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. [300\[0.3em]030\[0.3em]003\[0.3em]]\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:

A

A, B, E only

B

B, C only

C

D, E only

D

B, D, E only

Answer

A, B, E only

Explanation

Solution

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