Answer to Question #23266 in Linear Algebra for Matthew Lind
Symmetric condition holds for columns.
When multiplying by D from the right, then all columns of B will be multiplied
by appropriate D_mm.
So, at position (i,j) (where i not equal j) in BD=DB we will have element B_ij
* D_jj = B_ij * D_ii.
Since D_ii <> D_jj then B_ij = 0 . Thus B have to be Diagonal matrix.
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