Basic Linear Algebra |
Contents
CHAPTER 1MATRICES AND VECTORS | 19 |
CHAPTER 2INTERPRETATIONS | 55 |
CHAPTER 3LINEAR SPACES | 89 |
Copyright | |
4 other sections not shown
Common terms and phrases
a₁ applying elementary row array of numbers arrows b₁ b₂ basic probability vector Cartesian coordinate system Chapter Check coefficient column vector Compute concepts consists coordinate system defined denoted Determine diagonal dimension dot-product elementary row operations elements equation AX example Exercise following systems formula geometric Hence hyperplane identity matrix interpreted intersection inverse leading unknowns linear algebra linear combination linear equations linear space linear subspace linear transformation linearly independent system minimal distance n-column n-tuples n)-matrix nonzero rows number of vectors obtained parameters parametric expression perpendicular plane Prove random variable rank reduce reduction to row-echelon represented row-echelon form row-echelon matrix scalar multiples Section sets of vectors Show solution-set solutions of AX solving square matrix subset superfluous surjective system of vectors systems of linear Theorem tion unique solution units in direction vector-space vectors Aš x₁ zero