Linear Algebra Quiz
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A student claims that matrices A=(1234)A = \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix} and B=(4321)B = \begin{pmatrix} 4 & 3 \\ 2 & 1 \end{pmatrix} are similar because they have the same determinant and trace. To definitively verify or refute this claim, what is the most reliable approach?
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