Table of Contents
---
- [Table of Contents](https://hackmd.io/@0xff07/ryBUnE6R8)
Diagonalization
---
- [Diagonalization (Part 1)](https://hackmd.io/@0xff07/r1i5uKshL)
- [Diagonalization (Part 2)](https://hackmd.io/@0xff07/BJlKz9sh8)
- [Caley-Hamilton Theorem](https://hackmd.io/@0xff07/By700AyaL)
Canonical Form
---
- [Primary Decomposition Theorem](/@0xff07/S16Kph51D)
- [Minimal Polynomial](https://hackmd.io/@0xff07/ByurBb4ew)
Jordan Canonical Form
---
- [Existence of Jordan Basis (Part 0)](https://hackmd.io/@0xff07/S1M3bH3kv)
- [Existence of Jordan Basis (Part 1)](https://hackmd.io/@0xff07/HkNmwbiyP)
Rational Canonical Form
---
- [Existence of Rational Canonical Form (Part 0)](https://hackmd.io/@0xff07/Sk93YAAkP)
- [Existence of Rational Canonical Form (Part 1)](https://hackmd.io/@0xff07/rJy1A2TyD)
Inner Product Space
---
- [Inner Product](https://hackmd.io/@0xff07/rkTNU9N1P)
- [Norm](https://hackmd.io/@0xff07/B12oZe9kw)
- [Orthogonal & Orthonormal Sets](https://hackmd.io/@0xff07/SkWN2OFkv)
- [Orthogonal Basis & Orthonormal Basis](https://hackmd.io/@0xff07/BknDWYFkv)
- [Orthogonal Complement & Orthogonal Projection](https://hackmd.io/@0xff07/B1F8bct1P)
Adjoint of a Linear Operator
---
- [Adjoint of a Linear Operator](https://hackmd.io/@0xff07/HkUAxBZaU)
- [Adjoint Matrix](https://hackmd.io/@0xff07/S1QwCNZaL)
- [Normal Operator](https://hackmd.io/@0xff07/rk3-aZI6L)
- [Normal Matrix](https://hackmd.io/@0xff07/Hk-c6Z8pU)
- [Self-Adjoint Operator](https://hackmd.io/@0xff07/Hk8OCWU6U)
- [Self-Adjoint Matrix](https://hackmd.io/@0xff07/rJ8wkfLpU)
- [Spectral Theorem](https://hackmd.io/@0xff07/SJ-X8XVyv)
- [Unitary and Orthogonal Operators](https://hackmd.io/@0xff07/r19KXpH0L)
- [Positive Definite/Semidefinite Operators/Matrix](https://hackmd.io/@0xff07/rJtt6zDCL)
Singular Value Theorem
---
- [Properties of (T\*T)](https://hackmd.io/@0xff07/BJ27xiWkw)
- [Singular Value Theorem (Part 1)](https://hackmd.io/@0xff07/rklMoO20I)
- [Singular Value Decomposition for Matrices](https://hackmd.io/@0xff07/S1-Cucbyv)
- [Singular Value Theorem (Part 2)](https://hackmd.io/@0xff07/ry4UITpR8)
Pseudo Inverse
---
- [Pseudo Inverse](https://hackmd.io/@0xff07/SkmiZ9lkw)
- [Penrose Condition](https://hackmd.io/@0xff07/HyunD5-kD)
- [Pseudo Inverse for Matrices](https://hackmd.io/@0xff07/SJeOSWXyP)
- [Least Squares Solution](https://hackmd.io/@0xff07/HJ_JIvQkP)
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