Intended for the first course in linear algebra, this widely used text balances mathematical techniques and mathematical proofs. It presents theory in small steps and provides more examples and exercises involving computations than competing texts.

Review

1. Systems of Linear Equations and Matrices. 2. Determinants. 3. Vectors in R2 and R3. 4. Vector Spaces. 5. Linear Transformations. 6. Eigenvalues, Eigenvesors, And Canonical Forms. Appendix 1: Mathematical Induction. Appendix 2: Complex Numbers. Appendix 3: The Error in Numerical Computations and Computational Complexity. Appendix 4: Gaussian Elimination with Pivoting. Appendix 5: Using MATLAB.

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