: Covers basic concepts, matrix multiplication, linear systems of equations, the inverse, and LU decomposition.

by Richard Bronson and Gabriel B. Costa is a comprehensive undergraduate textbook that balances computational techniques with abstract theoretical foundations. It is designed to bridge the gap between concrete high-school algebra and the formal deductive reasoning required in advanced mathematics. Core Course Content

: Explores diagonalization, power methods, and includes a significant focus on solving differential equations.

: Focuses on orthogonality, projections, the QR algorithm, and least-squares fit.

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