Chapter 3: Linear transformations and matrices
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Chapter 3: Linear transformations and matrices

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Transformations Are Functions

What makes a transformation "linear"?

Matrices

Application of [1, 0] and [0, 1 ]

Understanding Rotation Using a Matrix

Example: Rotation of the Vector [2, 3] by 90 Degrees Counterclockwise

Understanding Shear Transformation Using a Matrix

Matrix Transformations of Basis Vectors: Rotation, Stretching, and Compression

Understanding Linearly Dependent Columns in a Matrix:

Formal Properties: Linear Transformations and Basis Vectors

Why Does the Origin Stay Fixed in Linear Transformations?