(a) A linear equation in two unknowns corresponds to a line in the plane. Give a similar geometric interpretation of a linear equation in three unknowns.
(b) Given a linear system consisting of two equations in three unknowns, what is the possible number of solutions? Gibe a geometric explanation of your answer.
(c) Given a homogeneous linear system consisting of two equations in three unknowns, how many solutions will it have? Explain.
Want to see the full answer?
Check out a sample textbook solutionChapter 1 Solutions
Linear Algebra with Applications (9th Edition) (Featured Titles for Linear Algebra (Introductory))
Additional Math Textbook Solutions
Algebra and Trigonometry
Differential Equations and Linear Algebra (4th Edition)
Elementary Algebra For College Students (9th Edition)
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
College Algebra Essentials (5th Edition)
Intermediate Algebra (12th Edition)
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellElementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice University
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning