Linear Algebra for Physics

Exploring vectors, matrices, and transformations essential for physics.

Foundations

Question 1 of 2

What is the result of the matrix-vector multiplication $\begin{pmatrix} 2 & 1 \\ 0 & 3 \end{pmatrix} \begin{pmatrix} 1 \\ -2 \end{pmatrix}$ ?

$\begin{pmatrix} 0 \\ -6 \end{pmatrix}$

$\begin{pmatrix} 4 \\ -6 \end{pmatrix}$

$\begin{pmatrix} 0 \\ 6 \end{pmatrix}$

$\begin{pmatrix} -1 \\ -2 \end{pmatrix}$