Unit 1 · Solving Linear Systems

Chapter 1.1

The Geometry of Linear Equations

One system, two pictures: intersecting planes, or a combination of column vectors. The column picture is the one that carries the whole course.

11–15 min · lesson 1 of 21

By the end

  1. 01Draw the row picture and the column picture of a linear system
  2. 02Express Ax as a combination of the columns of A
  3. 03Recognize when the pictures predict no solution or infinitely many

In unit 1

  1. 1.1The Geometry of Linear Equations11–15
  2. 1.2Elimination, Matrix Operations, and Inverses13–16
  3. 1.3LU Factorization, Transposes, and Permutations12–16
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