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This textbook is meant to be a mathematically complete and rigorous introduction to abstract linear algebra for undergraduates, possibly even first year students, specializing in mathematics.
5 hours
1
- Introduction
- Linear Equations and Matrices
- More Matrix Theory
- Fields and Vector Spaces
- Finite Dimensional Vector Spaces
- Linear Coding Theory
- Linear Transformations
- An Introduction to the Theory of Determinants
- Eigentheory
- The Inner Product Spaces R^n and C^n
- Unitary Diagonalization Theorems
- Some Applications of Eigentheory
- The Jordan Decomposition Theorem
Summary on tutorial Fundamentals of Linear Algebra
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Course Currilcum
- Fundamentals of Linear Algebra 05:00:00
