Exercises: Work with 2x2 Matrices as Transformations

Work through each section in order. Show your work where indicated.

Grade 9·20 problems·~30 min·Common Core Math - HS Number and Quantity·standard·hsn-vm-c-12

Work through problems with immediate feedback

Fluency Practice

For $A = \begin{bmatrix}3 & 1\\0 & 2\end{bmatrix}$ , where does $\mathbf{e}_2 = \begin{bmatrix}0\\1\end{bmatrix}$ map under $A$ ?

$\begin{bmatrix}3\\0\end{bmatrix}$ (column 1 of $A$ )

$\begin{bmatrix}1\\2\end{bmatrix}$ (column 2 of $A$ )

$\begin{bmatrix}0\\1\end{bmatrix}$ (unchanged)

$\begin{bmatrix}0\\2\end{bmatrix}$