Linear transformations and matrices | Chapter 3, Essence of linear algebra

The video connects linear maps with images of standard basis vectors and matrix columns, using rotations, shears and grid motion to explain matrix-vector multiplication.

Before you watch

• Basic understanding of vectors as directed quantities in 2D space
• Familiarity with Cartesian coordinate systems and grids
• Concept of linear combinations of vectors
• Understanding of standard basis vectors i-hat and j-hat
• Familiarity with vector addition and scalar multiplication
• Basic knowledge of Cartesian coordinate systems