Let k = \begin{pmatrix} 5 & -3 \\ 2 & -2 \end{pmatrix}( 5 2 −3 −2 ) be considered as a linear transformation r^2r 2 → r^2r 2 . find the matrix l representing the same transformation with respect to the basis { b1 = \begin{pmatrix} 3 \\ 1 \end{pmatrix}( 3 1 ) , b2 = \begin{pmatrix} 1 \\ 2 \end{pmatrix}( 1 2 ) } . \begin{pmatrix} 4 & 0 \\ 0 & -1 \end{pmatrix}( 4 0 0 −1 ) \begin{pmatrix} 4 & 4 \\ 0 & -1 \end{pmatrix}( 4 0 4 −1 ) \begin{pmatrix} 1 & 0 \\ 0 & -4 \end{pmatrix}( 1 0 0 −4 ) \begin{pmatrix} -4 & 0 \\ 0 & 1 \end{pmatrix}( −4 0 0 1 )

what? ? i don't get it

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