Matrix Transposes and Symmetric Matrices

Everything you need to know about transposing matrices and symmetric matrices

Transposing a matrix

Transposing a sum of matrices

Transposing a product of matrices

Symmetric Matrices

The pairs have swapped indexes. For example, the 13 in the first row is index (1, 3). The 13 in the first column is (3, 1)

The Inverse of a Symmetric Matrix is also Symmetric

The Product of a Matrix and it’s Transpose is Symmetric

Gaussian Elimination What if A in A = LDU is symmetric?

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