Linear maps: Matrices of Linear Maps
Determining the matrix of a linear map
Suppose that the linear map \(L \) from \( \mathbb{R}^2 \) to \(\mathbb R^2\) satisfies
\[\begin{aligned}
L\cv{-3\\3} &= \cv{-3\\-21}\\
L\cv{1\\-3} &= \cv{9\\17}
\end{aligned}\]Determine the matrix of \( L\) with respect to the standard basis.
\[\begin{aligned}
L\cv{-3\\3} &= \cv{-3\\-21}\\
L\cv{1\\-3} &= \cv{9\\17}
\end{aligned}\]Determine the matrix of \( L\) with respect to the standard basis.
\(L_\varepsilon=\) |
Unlock full access
Teacher access
Request a demo account. We will help you get started with our digital learning environment.
Student access
Is your university not a partner?
Get access to our courses via Pass Your Math independent of your university. See pricing and more.
Or visit omptest.org if jou are taking an OMPT exam.
Or visit omptest.org if jou are taking an OMPT exam.