Linear Algebra Fundamentals

Which object is best described as an ordered list of numbers with magnitude and direction?

What does a matrix usually represent in linear algebra?

A linear transformation takes every vector in a plane and doubles its length without changing its direction. Which eigenvalue matches that action?

Which statement best describes an eigenvector of a matrix?

A linear transformation reflects vectors across the $x$-axis. Which effect does this have on a vector not lying on the $x$-axis?

Which vector is an eigenvector of the matrix $\begin{pmatrix}2 & 0\\0 & 3\end{pmatrix}$?

A matrix can represent a linear transformation.

Every vector is an eigenvector of every linear transformation.