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(a) Write a system of linear equations and the reduced echelon form of the corresponding augmented matrix that meets the requirements described in the table. If no such system exists, state this and explain why. No intersection Intersects in a point Intersects in a line Intersects in a plane 2 equations & 2 unknowns 2 equations & 3 unknowns 3 equations & 2 unknowns 3 equations & 3 unknowns (b) Can you make any generalizations from these examples and the strategies you used to create them?

(a) Write a system of linear equations and the reduced echelon form of the corresponding augmented matrix that meets the requirements described in the table. If no such system exists, state this and explain why. No intersection Intersects in a point Intersects in a line Intersects in a plane 2 equations & 2 unknowns 2 equations & 3 unknowns 3 equations & 2 unknowns 3 equations & 3 unknowns (b) Can you make any generalizations from these examples and the strategies you used to create them?

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section: Chapter Questions
Problem 4CC
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4. (a) Write a system of linear equations and the reduced echelon form of the corresponding augmented matrix that meets the requirements described in the table. If no such system exists, state this and explain why. No intersection Intersects in a point Intersects in a line Intersects in a plane 2 equations & 2 unknowns 2 equations & 3 unknowns 3 equations & 2 unknowns 3 equations & 3 unknowns (b) Can you make any generalizations from these examples and the strategies you used to create them?
Transcribed Image Text:4. (a) Write a system of linear equations and the reduced echelon form of the corresponding augmented matrix that meets the requirements described in the table. If no such system exists, state this and explain why. No intersection Intersects in a point Intersects in a line Intersects in a plane 2 equations & 2 unknowns 2 equations & 3 unknowns 3 equations & 2 unknowns 3 equations & 3 unknowns (b) Can you make any generalizations from these examples and the strategies you used to create them?
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