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

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Skew Symmetric Matrix

i Show that t...

Question

(i) Show that the matrix is a symmetric matrix

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

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A = ⎡ ⎢ ⎣ \begin{matrix} 1 - 1 5 \end{matrix} \begin{matrix} - 1 21 \end{matrix} \begin{matrix} 513 \end{matrix} ⎤ ⎥ ⎦

A = ⎡ ⎢ ⎣ \begin{matrix} 0 - 1 1 \end{matrix} \begin{matrix} 10 - 1 \end{matrix} \begin{matrix} - 1 10 \end{matrix} ⎤ ⎥ ⎦

A = [\begin{matrix} 1 & 5 6 & 7 \end{matrix}]

(A + A^{'})

(A - A^{'})

For the matrix, verify that

(i) is a symmetric matrix

(ii) is a skew symmetric matrix

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