Algebra Archive: Questions from May 21, 2023
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\( \begin{array}{l}\left(T_{2} \circ T_{1}\right)(x, y) \\ T_{1}(x, y)=(3 x,-4 y, x+y), T_{2}(x, y, z)=(x-y, y+z)\end{array} \)2 answers -
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Find \( x \) and \( y \). \[ \left[\begin{array}{rrr} x+2 & 8 & -9 \\ 9 & 2 y & 2 x \\ 7 & -6 & y+2 \end{array}\right]=\left[\begin{array}{rrr} 2 x+6 & 8 & -9 \\ 9 & 6 & -8 \\ 7 & -6 & 5 \end{array}\r2 answers -
Find \( x \) and \( y \). \[ \begin{array}{c} {\left[\begin{array}{rr} -5 & x \\ y & 4 \end{array}\right]=\left[\begin{array}{rr} -5 & 16 \\ 14 & 4 \end{array}\right]} \\ (x, y)=\left(-\frac{52}{13},2 answers