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Matrices and linear transformations

Build a matrix from the images of basis vectors, predict the effect on a grid and explain why the order of matrix multiplication matters.

Learning objectives

Read matrix columns as transformed basis vectors.
Apply a linear transformation to a vector.
Compose two transformations in the correct order.

Syllabus

  1. Read a matrix by its columns (1)
  2. Visualising a linear transformation (1)
  3. Compose transformations in the right order (1)
  4. Multiplication as composition (1)
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