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WU Notes

Generating Set

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Math 429

WU Notes

Home
Math 429
Math 429
- Theorems
- Foundation
- Derivative, Diagonalizability, Jordan Canonical Form
- Gaussian Elimination
- Field
- Vector Space
- Span
- Linear Combination
- Linear Independence
- Generating Set Generating Set
  Table of contents
  - Definition
- Basis
- Linear Transformations
- Matrix Representation of Linear Maps
- Matrices
- Elementary Row And Column Operation
- Solving Linear Equation
- GEM
- Determinant
- Diagonalizability
- Eigenvalue and Eigenvector
- Jordan Conical Form
- Invariant Subspaces

Table of contents

Definition

Generating Set

Definition

We say \(S\subset V\) generates \(V\) if \(\text{span}(S)=V\) (Span)