Descrição do livro
Justin Math: Linear Algebra is the third book in a series that covers the foundations of high school and college math: Algebra, Calculus, and Linear Algebra (with Differential Equations baked into the latter two). It provides deep intuition for the core concepts and connections, along with plenty of practice exercises, while remaining as concise as possible.
CONTENTS
1. VECTORS - N-Dimensional Space; Dot Product and Cross Product; Lines and Planes; Span, Subspaces, and Reduction; Elimination as Vector Reduction.
2. VOLUME - N-Dimensional Volume Formula; Volume as the Determinant of a Square Linear System; Shearing, Cramer’s Rule, and Volume by Reduction; Higher-Order Variation of Parameters.
3. MATRICES - Linear Systems as Transformations of Vectors by Matrices; Matrix Multiplication; Rescaling, Shearing, and the Determinant; Inverse Matrices.
4. EIGENSPACE - Eigenvalues, Eigenvectors, and Diagonalization; Recursive Sequence Formulas via Diagonalization; Generalized Eigenvectors and Jordan Form; Matrix Exponential and Systems of Linear Differential Equations.
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