(i) Show that the matrix A=⎡⎢⎣1−15−121513⎤⎥⎦ is a symm – InterviewSolution

1.	(i) Show that the matrix A=⎡⎢⎣1−15−121513⎤⎥⎦ is a symmetric matrix.(ii) Show that the matrix A=⎡⎢⎣01−1−1011−10⎤⎥⎦ is a skew-symmetric matrix.
Answer» $(i)$ Show that the matrix $A = ⎡ ⎢ ⎣ \begin{matrix} 1 & - 1 & 5 - 1 & 2 & 1 5 & 1 & 3 \end{matrix} ⎤ ⎥ ⎦$ is a symmetric matrix. $(i i)$ Show that the matrix $A = ⎡ ⎢ ⎣ \begin{matrix} 0 & 1 & - 1 - 1 & 0 & 1 1 & - 1 & 0 \end{matrix} ⎤ ⎥ ⎦$ is a skew-symmetric matrix.

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