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Linear Systems
a. Gauss's Method
b. Solution Sets
c. Equivalent Systems
Vector Spaces
a. Introduction
b. Subspaces
c. Span
d. Linear Independence
e. Bases & Dimension
f. Row & Column Space
Maps Between Spaces
a. Isomorphisms
b. Homomorphisms
c. Rangespace & Nullspace
d. Matrix Representations
e. Map Matrix Connection
f. Changing Map Representations
Determinants and Similarity
a. Determinants
b. Similarity
Home
Linear Systems
a. Gauss's Method
b. Solution Sets
c. Equivalent Systems
Vector Spaces
a. Introduction
b. Subspaces
c. Span
d. Linear Independence
e. Bases & Dimension
f. Row & Column Space
Maps Between Spaces
a. Isomorphisms
b. Homomorphisms
c. Rangespace & Nullspace
d. Matrix Representations
e. Map Matrix Connection
f. Changing Map Representations
Determinants and Similarity
a. Determinants
b. Similarity
More
Home
Linear Systems
a. Gauss's Method
b. Solution Sets
c. Equivalent Systems
Vector Spaces
a. Introduction
b. Subspaces
c. Span
d. Linear Independence
e. Bases & Dimension
f. Row & Column Space
Maps Between Spaces
a. Isomorphisms
b. Homomorphisms
c. Rangespace & Nullspace
d. Matrix Representations
e. Map Matrix Connection
f. Changing Map Representations
Determinants and Similarity
a. Determinants
b. Similarity
4.b Similarity
Videos (in order)
Similarity Motivation
Similarity Example
Benefits of Diagonal Matrices
Diagonalizable Definition
Diagonalizable Maps Scale a Basis
Eigenvector & Eigenvalue Definition
Diagonalization Example Overview
Diagonalization Example (Finding Eigenvalues)
Diagonalization Example (Finding Eigenvectors)
Diagonalization Example (Finding Matrix Representation)
Diagonalization Example Summary
When is a Matrix Diagonalizable?
Linearly Independent Eigenvectors Proof
Similarity Motivation
Filled-in video notes
Similarity
Example
Filled-in video notes
Benefits of Diagonal Matrices
Filled-in video notes
Diagonalizable Definition
Filled-in video notes
Diagonalizable Maps Scale a Basis
Filled-in video notes
Eigenvector & Eigenvalue Definition
Filled-in video notes
Diagonalization Example Overview
Filled-in video notes
Diagonalization Example (Finding Eigenval
ues)
Filled-in video notes
Diagonalization Example (Finding Eigenv
ectors
)
Filled-in video notes
Diagonalization Example (Finding
Matrix Representation
)
Filled-in video notes
Diagonalization Example
Summary
Filled-in video notes
When is a Matrix Diagonalizable?
Filled-in video notes
Linearly Independent Eigenvectors Proof
Filled-in video notes
Video Notes
4.b Similarity
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