Exercises: Multiply Matrices and Vectors

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-11

Work through problems with immediate feedback

Recall / Warm-Up

The matrix $A = \begin{bmatrix}k&0\\0&k\end{bmatrix}$ maps every vector to a new vector. What geometric transformation does $A$ represent?

A rotation by $k$ degrees

A reflection over the $x$ -axis

A uniform scaling by factor $k$

A shear along the $x$ -axis