Linear maps: Matrices of Linear Maps
The matrix of a linear map in coordinate space
Let #L:\mathbb{R}^2\to\mathbb{R}^2# be the linear map defined by
\[L\left(\rv{x,y}\right)=\rv{2\cdot x+9\cdot y, 8\cdot x-4\cdot y}\]
Determine the matrix #L_{\varepsilon}# of #L# with respect to the standard basis.
\[L\left(\rv{x,y}\right)=\rv{2\cdot x+9\cdot y, 8\cdot x-4\cdot y}\]
Determine the matrix #L_{\varepsilon}# of #L# with respect to the standard basis.
\(L_\varepsilon =\) |
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