One Vector In, One Vector Out

You'll learnto treat a matrix as a function: one vector in, one vector out.

Topic 4.12 watched the whole plane move at once. Here a matrix is a function: feed it one vector and it hands back exactly one, by the same rule every time. That single-input view is what lets sums pass straight through it and lets two machines chain into one. Twelve short steps; press Next for each one.

12 STEPS · 6 QUICK CHECKS · MACHINE · COLUMNS · LINEARITY · COMPOSITION · v4

Unit 4 is not assessed on the AP exam; schools include it where local requirements ask.

rows do the arithmetic, columns say what the map is

Before you start

What you're looking at

A single input arrow on the plane, about to be sent through a matrix and come back changed.

The question

How is the output worked out, and how do you read what the matrix does?

Step 1 / 12