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4a. Can you find a system of linear equations that has exactly two real solutions. 4b. A set S is called convex if tx + (1 – t)y E S for any x, y E S and t e [0, 1]. Then show that the solution set of any system of linear equation is convex.(This says the solution space / solution set of a linear system is "nice")

4a. Can you find a system of linear equations that has exactly two real solutions. 4b. A set S is called convex if tx + (1 – t)y E S for any x, y E S and t e [0, 1]. Then show that the solution set of any system of linear equation is convex.(This says the solution space / solution set of a linear system is "nice")

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4a. Can you find a system of linear equations that has exactly two real solutions. 4b. A set S is called convex if tx + (1 – t)y E S for any x, y E S and t e [0, 1]. Then show that the solution set of any system of linear equation is convex. (This says the solution space / solution set of a linear system is "nice")
Transcribed Image Text:4a. Can you find a system of linear equations that has exactly two real solutions. 4b. A set S is called convex if tx + (1 – t)y E S for any x, y E S and t e [0, 1]. Then show that the solution set of any system of linear equation is convex. (This says the solution space / solution set of a linear system is "nice")
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