Skip to content
DoingCamp CS

Make it comfy

Lesson style

Quick mode shows the key picture, a summary and the practice. Good for a refresher.

Theme
Font

Both fonts are designed to be easy to read. Some readers with dyslexia prefer Lexend.

Text size
Spacing
Animations

Lesson 11 of 20 · about 16 min

Column space, null space and rank

Your shadow is a flattened copy of you, and from a shadow alone you can't tell how tall someone is. Matrices that flatten things lose information in the same way. You'll find everything a matrix can reach (its column space), everything it crushes to zero (its null space), and the neat rule that ties their sizes together.

🔓 Unlock this lesson

This lesson is part of the DoingCamp Pass. Members get every lesson in every course, with all the interactive visuals, coding exercises and challenges.

In this lesson you'll learn:

  • Column space and null space
  • Rank–nullity

Free to try in F08 Linear Algebra:

The first 3 lessons of every course are free, no account needed.