This is an testexam question and that requires true or false and some explanataion.
2 (n x n) matrices have the same eigenvalue Pi, does A - B have eigenvalue 0?
This is an testexam question and that requires true or false and some explanataion.
2 (n x n) matrices have the same eigenvalue Pi, does A - B have eigenvalue 0?
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$$A=\begin{pmatrix} \pi &0 \\ 0 &0 \end{pmatrix}, B=\begin{pmatrix} 0 &0\\ 0 &\pi \end{pmatrix}.$$