let A and B are the square matrices of order n and k respectively over complex numbers. A and B have no eigenvalue in common. prove that the matrix equation AX=XB have no non zero solution, where X has order n*k.

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- Feb 28th 2012, 11:09 PMmathss123matrix equations
let A and B are the square matrices of order n and k respectively over complex numbers. A and B have no eigenvalue in common. prove that the matrix equation AX=XB have no non zero solution, where X has order n*k.