Subspaces and Bases
Linear Algebra
Introduction to Linear Algebra
Vectors
1
Vectors in
\(\mathbb{R}^n\)
2
Abstract Vector Spaces
Problems
Matrices
3
Matrices
Problems
Real World Application
Linear Transformation
4
Linear Transformations in
\(\mathbb{R}^n\)
Problems
Systems of Linear Equations
5
Systems of Linear Equations
Computational Problems
Conceptual Problems
Subspaces and Bases
6
Bases of Vector Spaces
7
Subspaces of
\(\mathbb{R}^n\)
Problems
Least Squares
8
Least Squares
Eigenvalues and Eigenvectors
9
Determinants
10
Eigenvalues and Eigenvectors
Lab
Linear Transformation II
11
Advanced Topics of Linear Maps
Problems
Subspaces and Bases
This section covers subspaces and bases
Bases
Subspaces of
\(\mathbb{R}^n\)
Problems
Conceptual Problems
6
Bases of Vector Spaces