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Book B
Table of Contents Table of Contents Chapter 1 — Introduction Chapter 2 — Vectors Chapter 3 — Linear Transformations A linear system is a mathematical model used to describe relationships between variables that obey the principle of superposition. 1 Definition A system is said to be linear if it satisfies additivity and homogeneity. Theorem 1.1 Every linear transformation between finite-dimensional vector spaces can be represented by a matrix. Example The system y = 3x is linear, whereas y = x² is not. This definition originates from classical linear algebra texts. ↩
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