Question:
If the matrix \(\begin{bmatrix} 2 & 3 \\ 5 & -1 \end{bmatrix}\)= A + B, where A is symmetric and B is skew-symmetric then B =
If the matrix \(\begin{bmatrix} 2 & 3 \\ 5 & -1 \end{bmatrix}\)= A + B, where A is symmetric and B is skew-symmetric then B =
Updated On: Sep 15, 2024
- \(\begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}\)
- \(\begin{bmatrix} 0 & -1 \\ 1 & 0 \end{bmatrix}\)
- \(\begin{bmatrix} 0 & -1 \\ -1 & 0 \end{bmatrix}\)
- \(\begin{bmatrix} -1 & 0 \\ 0 & 1 \end{bmatrix}\)
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The Correct Option is B
Solution and Explanation
The correct option is (B) : \(\begin{bmatrix} 0 & -1 \\ 1 & 0 \end{bmatrix}\).
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