Geometry of Matrices

1.21

Orthogonal Matrix

• A^TA = I = AA^T

1.2.7

Matrices as Geometric Transformations

• m x n matrix A can be seen as a map from Rⁿ → R^m

  • n dimensional space to m

  • b = Aa

    • A transforms column vector a ( of size n) to column vector b (of size m)