Elementary Linear Algebra: Applications VersionElementary Linear Algebra: Applications Version, 11th Edition gives an elementary treatment of linear algebra that is suitable for a first course for undergraduate students. The aim is to present the fundamentals of linear algebra in the clearest possible way; pedagogy is the main consideration. Calculus is not a prerequisite, but there are clearly labeled exercises and examples (which can be omitted without loss of continuity) for students who have studied calculus. |
Contents
| 2 | |
CHAPTER 7 | 101 |
Determinants | 105 |
CHAPTER 9 | 116 |
Euclidean Vector Spaces | 131 |
General Vector Spaces | 183 |
APPENDIX A Working with Proofs | 1 |
Information in science business and mathematics is often organized into rows | 3 |
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Common terms and phrases
3-space angle Applications of Linear augmented matrix basis vectors called Chapter 1 Systems Chapter 10 Applications cofactor expansion column space column vectors compute corresponding defined definition denote det(A det(B determine diagonalizable dot product eigenspace eigenvalues eigenvector elementary matrices elementary row operations entries Equations and Matrices Euclidean inner product EXAMPLE Exercise Set expressed factor False Figure following theorem Formula Gauss–Jordan elimination geometric graph inner product space integer invertible matrix iterations justify your answer least squares Linear Algebra linear combination Linear Equations linear system linear transformation linearly independent matrix transformation nonzero vector obtain one-to-one orthogonal projection orthonormal pixel plane polynomial positive proof Prove real numbers reduced row echelon result rotation row echelon form row vectors scalar multiplication solve square matrix standard matrix subspace symmetric matrix Systems of Linear transition matrix upper triangular values vector space vectors in Rn verify zero