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A symmetric matrix is one that is equal to its transpose, i.e. A = A^T. Consider the following 3-by-3 matrix: { 0 0 1 } { 1 0 0 } { 0 1 0 } It can be seen that this is not a symmetric matrix. However, by interchanging rows (2) and (3), the matrix: { 0 0 1 } { 0 1 0 } { 1 0 0 } is obtained. This...