The matrix is a

Engineering

Mathematics

Multiplication of Matrices

Symmetric and Skew Symmetric Matrices

Question

The matrix $[\begin{array}{ccc} 1 & 0 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 4 \end{array}]$ is a

Identity matrix

Symmetric matrix

Skew symmetric matrix

None of these

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Let

A = [\begin{array}{ccc} 1 & 0 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 4 \end{array}]

A^{'} = [\begin{array}{ccc} 1 & 0 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 4 \end{array}] = A

So, the given matrix is a symmetric matrix.

[Since, in a square A. If A' = A, then A is called symmetric matrix]

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