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Math Help - Matrix proof

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    Matrix proof

    Show that there are no 2x2 matrices A and B such that AB-BA=\begin{pmatrix}1 & 0\\0 & 1\end{pmatrix}
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    Quote Originally Posted by jennifer1004 View Post
    Show that there are no 2x2 matrices A and B such that AB-BA=\begin{pmatrix}1 & 0\\0 & 1\end{pmatrix}
    let A = \left( \begin{array}{cc} a_1 & a_2 \\ a_3 & a_4 \end{array} \right) and B = \left( \begin{array}{cc} b_1 & b_2 \\ b_3 & b_4 \end{array} \right)

    compute AB - BA and show that this can never be \left( \begin{array}{cc} 1 & 0 \\ 0 & 1 \end{array} \right) by equating corresponding entries
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