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(Solved): 2 1. Find the standard matrix for the linear transformation given by \[ S\left(\left[\begin{array}{l ...
2
1. Find the standard matrix for the linear transformation given by \[ S\left(\left[\begin{array}{l} x_{1} \\ x_{2} \end{array}\right]\right)=\left[\begin{array}{c} 5 x_{1}+4 x_{2} \\ -4 x_{1}-3 x_{2} \\ -5 x_{1}-3 x_{2} \\ 5 x_{1}+7 x_{2} \end{array}\right] . \] 2. Let \( T: \mathbb{R}^{2} \rightarrow \mathbb{R}^{4} \) be the linear transformation given by the standard matrix \( \left[\begin{array}{cc}1 & 2 \\ 1 & 3 \\ 3 & 5 \\ 3 & 8\end{array}\right] \). Compute \( T\left(\left[\begin{array}{l}-2 \\ -1\end{array}\right]\right) \)
Expert Answer
if you look at the linear transformation input you can see the input is of the form (x1 x2)^T,T is transpose.But we have domain R^2,so how can w