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  • (i) Show that the matrix A equals [ 1 -1 5 -1 2 1] is a symmetric matrix.

Q7.    (i) Show that the matrix A = \begin{bmatrix} 1 &- 1& 5\\ -1 & 2 & 1\\ 5 & 1 & 3 \end{bmatrix} is a symmetric matrix.

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A = \begin{bmatrix} 1 &- 1& 5\\ -1 & 2 & 1\\ 5 & 1 & 3 \end{bmatrix}

the transpose of A is

A' = \begin{bmatrix} 1 &- 1& 5\\ -1 & 2 & 1\\ 5 & 1 & 3 \end{bmatrix}

Since,A' = A so given matrix is a symmetric matrix.

 

 

 

 

Posted by

seema garhwal

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