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Cut the Crap Linear Algebra: An anything but fancy guide through introductory linear algebra
Paperback
Series: Cut the Crap Mathematics
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ISBN13: 9798176839821
Publisher: Independently Published
Published: Sep 25 2026
Pages: 470
Weight: 1.37
Height: 0.95 Width: 6.00 Depth: 9.00
Language: English
Publisher: Independently Published
Published: Sep 25 2026
Pages: 470
Weight: 1.37
Height: 0.95 Width: 6.00 Depth: 9.00
Language: English
Written by a 16-year-old Sophomore in high school, and a self-studier of higher-level mathematics. Have you ever read a book and thought, Goodness gracious, I have no idea what the heck this guy is saying. So have I, and I have decided to counter such an ugly world of incomprehensible math with one that is made to be learned. Books of mathematics are far too concerned with impressing colleagues and hiding their incapabilities behind textbook definitions and assumptions of knowledge. I believe that math is made to teach. So I promise you there will be a definitional or grammatical error in this book, but I also promise you that you will learn more than you ever have in your life. Welcome to the world of Linear Algebra! Chapter 1: Vectors
- The Basics of Vectors
- Basic Vector Operations
- Polar Form of Vectors
- The Dot Product
- Orthogonality
- Vector Norms
- Projections Chapter 2: Matrices
- Systems of Equations
- The Matrix
- Matrix Operations
- Determinants
- The Cross Product
- Inverse Matrices
- Cramer's Rule and the Method of Inverses
- Matrix Transformations Chapter 3: Linear Theory
- Basic Pure Mathematics
- Vector Spaces
- Subspaces
- Linear Independence
- Span
- Basis
- Column and Null Space Chapter 4: Eigenvectors and Diagonalization
- Eigenvectors and Eigenvalues
- Eigenspaces
- Diagonalization
- Complex Eigenvectors Chapter 5: Applications of Linear Algebra
- The Gram-Schmidt Process
- Least Squares Approximation
- The Jacobian
- Quantum Mechanics
- Basic Vector Operations
- Polar Form of Vectors
- The Dot Product
- Orthogonality
- Vector Norms
- Projections Chapter 2: Matrices
- Systems of Equations
- The Matrix
- Matrix Operations
- Determinants
- The Cross Product
- Inverse Matrices
- Cramer's Rule and the Method of Inverses
- Matrix Transformations Chapter 3: Linear Theory
- Basic Pure Mathematics
- Vector Spaces
- Subspaces
- Linear Independence
- Span
- Basis
- Column and Null Space Chapter 4: Eigenvectors and Diagonalization
- Eigenvectors and Eigenvalues
- Eigenspaces
- Diagonalization
- Complex Eigenvectors Chapter 5: Applications of Linear Algebra
- The Gram-Schmidt Process
- Least Squares Approximation
- The Jacobian
- Quantum Mechanics
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