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Another way to think of it is that permuting rows corresponds to multiplying a matrix on the left by a permutation matrix, and permuting columns, on the right.
by kmill 10y ago
Another way to think of it is that permuting rows corresponds to multiplying a matrix on the left by a permutation matrix, and permuting columns, on the right. Since matrix multiplication is associative, they commute!
- evincarofautumn 10y agoYet another way to think of it is that a matrix is an encoding of a linear (or affine) function, matrix multiplication is composition of such functions, and since composition is associative, they commute. :)