Little Devil
Why might two matrices commute? I.e Why would AB=BA because in general, matrices usually do not commute. What are the properties of matrices that do commute?
Ben
Ben
Diagonal matrices commute.
Clearly an example is all matrices for which B = kA, where k is a scalar. Then, the eigenvalues differ by a constant factor and the matrix M diagonalizes both A and B as required.Can you give me and example to find matrices commute with matrices A that we know?