(i) Show that the matrix `A=[[1,-1, 5],[-1, 2, 1],[ 5, 1, 3]]`is a symmetric matrix.
(ii) Show that the matrix `A=[[0, 1,-1],[-1, 0, 1],[ 1,-1, 0]]`is a skew symmetric matrix.

Explanation

To solve the problem, we need to show two things:

1. Whether the matrix \( A = \begin{bmatrix} 1 & -1 & 5 \\ -1 & 2 & 1 \\ 5 & 1 & 3 \end{bmatrix} \) is symmetric.
2. Whether the matrix \( A = \begin{bmatrix} 0 & 1 & -1 \\ -1 & 0 & 1 \\ 1 & -1 & 0 \end{bmatrix} \) is skew symmetric.

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

**Step 1: Find the transpose of matrix A.**
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