Let S be a linear transformation from R³ to R² with associated matrix A = [ 2 2 0 -3 3 1 ]. Let T be a linear transformation from R² to R² with associated matrix B = [ 2 2 -1 3 ]. Determine the matrix C of the composition T ? S. C = [ ? ? ? ? ? ? ]
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Step 1: Multiply matrix B and matrix A to find matrix C: \[ C = B \cdot A = \begin{bmatrix} 2 & -1 \\ 3 & 3 \end{bmatrix} \cdot \begin{bmatrix} 2 & 2 & -3 \\ -1 & 3 & 3 \end{bmatrix} \] Show more…
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