Consider the matrix $$\begin{bmatrix} 1&-1&-1\\ -1&1&-1\\ -1&-1&1\\ \end{bmatrix}$$. Suppose we want to find the normal form under congruence of matrices.Now after carrying out the first operation,the pivot positions are not in correct positions,so I am stuck here.Should I use row or column interchange for that.Please try to find normal form under congruence and show me the steps and help me to find my mistake.
2026-02-22 23:28:44.1771802924
How to find the normal form under congruence of the given matrix.
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