Let A=(1002)A = \begin{pmatrix} 1 & 0 \\ 0 & 2 \end{pmatrix}A=(1002) and B=(1101)B = \begin{pmatrix} 1 & 1 \\ 0 & 1 \end{pmatrix}B=(1011). Which property do AAA and BBB share?
Both are diagonalizable.
They have the same characteristic polynomial.
They have the same trace.
They have the same determinant.