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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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need the correct solves asap plz
![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") [|](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc94d58d2-78b0-4e1b-b470-5da142c7fbe0%2F358b59fb-9ed5-48a2-827a-bad02fa7a54a%2F90zyyc2_processed.jpeg&w=3840&q=75)
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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