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 =

• A. \(\begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}\)
• B. \(\begin{bmatrix} 0 & -1 \\ 1 & 0 \end{bmatrix}\)
• C. \(\begin{bmatrix} 0 & -1 \\ -1 & 0 \end{bmatrix}\)
• D. \(\begin{bmatrix} -1 & 0 \\ 0 & 1 \end{bmatrix}\)

Answer 1

The Correct Option is B

The correct option is (B) : \(\begin{bmatrix} 0 & -1 \\ 1 & 0 \end{bmatrix}\).