Linear algebra , David Cherney, Tom Denton, Rohit Thomas and Andrew Waldron,
The topics are discussed in this book are listed below:
1. What is Linear Algebra?
2. Systems of Linear Equations
3. The Simplex Method
4. Vectors in space ,n-Vectors
5. Vector spaces
6. Linear Transformations
7. Matrices
8. Determinants
9. Subspaces and spanning sets
10. linear independence
11. Basis and dimension
12. Eigen values and Eigen vectors
13. Diagonalization
14. Orthonormal Bases and Complements
15. Diagonalizing Symmetric Matrices
16. Kernel ,Range , Nullity, Rank
17. Least squares and Singular Values
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