5. Let A be as in Problem 3; find the rank, p(Alb), where b = [-11 -3 -1]. Is the system Ax=b consistent or inconsistent? Why? Why not?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 11E
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Q5. Linear Programming
3. Let F be the set of whole numbers with the operations of addition of its
components and scalar multiplication. Is F a vector space? Why? Why
not?
[260
4. Find the rank, p(A), of A where A = 6 20 -6
06-18
5. Let A be as in Problem 3; find the rank, p(Alb), where b = [-11 -3 -1].
Is the system Ax = b consistent or inconsistent? Why? Why not?
Transcribed Image Text:3. Let F be the set of whole numbers with the operations of addition of its components and scalar multiplication. Is F a vector space? Why? Why not? [260 4. Find the rank, p(A), of A where A = 6 20 -6 06-18 5. Let A be as in Problem 3; find the rank, p(Alb), where b = [-11 -3 -1]. Is the system Ax = b consistent or inconsistent? Why? Why not?
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