Life of Fred: Linear Algebra Expanded Edition

This book is usually taken in the junior (3rd) year of college.  (All the answers are given in the book.)

ISBN: 978-1-937032-20-3, hardback, 368 pages.

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List of Topics Covered:

Solving systems of equations with one, many, and no solutions. Gauss-Jordan elimination. Gaussian elimination. Matrices. LU-decomposition. Vector spaces. Inner product spaces. Gram-Schmidt orthogonalization process. Fourier series. Data fitting. Linear Transformations. Linear functionals. Dual spaces. Eigenvalues and eigenvectors. Markov chains. (Upper-division college level.)

The full 10-book Extra High School and College Math series includes:

1. Life of Fred: Logic
2. Life of Fred: Calculus Expanded Edition (freshman and sophomore year of college)
3. Life of Fred: Statistics Expanded Edition
4. Life of Fred: Life of Fred: Five Days of Upper Division Math: Set Theory, Modern Algebra, Abstract Arithmetic, Topology
5. Life of Fred: Abstract Algebra
6. Life of Fred: Linear Algebra Expanded Edition (junior year of college)
7. Life of Fred: Real Analysis
8. Life of Fred: Complex Analysis
9. Life of Fred: Numerical Analysis
10. Life of Fred: Metamathematics 

Life of Fred: Chemistry can also be read near the end of High-School or early College.