Lecture 3: Orthonormal Columns in Q Give Q’Q = I
Description
This lecture focuses on orthogonal matrices and subspaces. Professor Strang reviews the four fundamental subspaces: column space C(A), row space C(AT), nullspace N(A), left nullspace N(AT).
Summary
Examples:
- Rotations
- Reflections
- Hadamard matrices
- Haar wavelets
- Discrete Fourier Transform (DFT)
- Complex inner product
Related section in textbook: I.5
Instructor: Prof. Gilbert Strang
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| As Taught In: | Spring 2018 |
| Level: | Undergraduate |
Topics
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