Math 344: Linear Algebra
Practice Questions & Study Resources
1
Linear Systems & Vector Equations
Sec 1.1
Systems of Linear Equations
Sec 1.2
Row Reduction and Echelon Forms
Sec 1.3
Vector Equations
Sec 1.4
The Matrix Equation
Sec 1.5
Solution Sets of Linear Systems
Sec 1.6
Applications of Linear Systems
Sec 1.7
Linear Independence
Sec 1.8, 1.9
Linear Transformations
Review
True/False Questions
2
Matrix Operations & Vector Spaces
Sec 2.1
Matrix Operations
Sec 2.2
The Inverse of a Matrix
Sec 2.8
Subspaces of R^n
Sec 3.1, 3.2
Determinants
Sec 3.3
Applications of Determinants
Sec 4.1
Vector Spaces and Subspaces
Sec 4.2
Null, Column, Row Spaces
Sec 4.3
Linear Independent Sets & Bases
Sec 4.5
The Dimension of a Vector Space
Review
True/False Questions
4-6
Advanced Topics
Sec 4.6
Change of Basis
Sec 5.1, 5.2
Eigenvalues and Eigenvectors
Sec 5.3
Diagonalization
Sec 6.1, 6.2
Inner Product and Orthogonality
Sec 6.3, 6.4
Orthogonal Projection & Gram-Schmidt Process
Review
True/False Questions
Questions or Found a Mistake?
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