I Show that the matrix A- 1 -1 5 -1 2 1 5 1 3 - is a symmetric matrixii Show that the matrix A- 0 -1 1 1 0 -1 -1 1 0 - is a skew symmetric matrix-

(i) We have : A ^' #160;=[ 1 1 5 1 2 1 5 1 3 ] =A ∴ A ^' #160;=A Hence, A is a Symmetric matrix.(ii) ...

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(i) Show that the matrix $A = ⎡ ⎢ ⎣ \begin{matrix} 1 - 1 5 \end{matrix} \begin{matrix} - 1 21 \end{matrix} \begin{matrix} 513 \end{matrix} ⎤ ⎥ ⎦$ is a symmetric matrix

(ii) Show that the matrix $A = ⎡ ⎢ ⎣ \begin{matrix} 0 - 1 1 \end{matrix} \begin{matrix} 10 - 1 \end{matrix} \begin{matrix} - 1 10 \end{matrix} ⎤ ⎥ ⎦$ is a skew symmetric matrix.

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(i) Show that the matrix is a symmetric matrix

(ii) Show that the matrix is a skew symmetric matrix

(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.

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

For the matrix, verify that

(i) is a symmetric matrix

(ii) is a skew symmetric matrix

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