An Introduction, Second Edition | Linear Algebra:

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: Focuses on orthogonality, projections, the QR algorithm, and least-squares fit. Linear Algebra: An Introduction, Second Edition

: Introduces vectors, subspaces, linear independence, basis and dimension, and the rank of a matrix. You can find new and used copies of

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 the QR algorithm

: Details functions, matrix representations, and change of basis.

: Computational methods, such as the Gram-Schmidt process or finding matrix inverses, are presented as clear, operational steps.