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

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 (ii) Show that the matrix, $A = ⎡ ⎢ ⎣ \begin{matrix} 0 & 1 & - 1 - 1 & 0 & 1 1 & - 1 & 0 \end{matrix} ⎤ ⎥ ⎦$ is a skew -symmetric matrix.

(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

(ii) Show that the matrix, $A = ⎡ ⎢ ⎣ \begin{matrix} 0 & 1 & - 1 - 1 & 0 & 1 1 & - 1 & 0 \end{matrix} ⎤ ⎥ ⎦$ is a skew -symmetric matrix.