(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, Books A La Carte Edition (9th Edition)
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)
- What is a system of linear equations in the variables x, y, and z?arrow_forwardFor a system of two linear equations in two variables, aHow many solutions are possible? bWhat is meant by an inconsistent system? cWhat is meant by a dependent system?arrow_forwardSKILL BIULDIND EXERCISES What Is the Solution For a certain system of two linear equations in two unknowns, the graphs are distinct parallel lines. What can you conclude about the solution of the system of equations?arrow_forward
- Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage LearningBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin HarcourtFunctions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage LearningGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill