Question 1 a) b) For the given matrix if determinant of value is 2, then find the value off. find the inverse of the matrix after you calculated r. 2 +60 1² 1-2 7

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Work Problem.
Question 1.
(a)
b)
b)
b)
Question 2
Question
You must provide a clear and detailed solution for the question.
For the given matrix
if determinant of value is 2, then find the value off.
find the inverse of the matrix after you calculated.
Let W be the set of all the vectors of the form
2 2 3
A=0 1-2 7
(005)
[]
Is W closed under addition? Prove or give a counter example
Let S be the set of the vectors written as:
where x.y > 0.
Is W closed under scalar multiplication? Prove or give a counter example. Can we conclude W is a subspace of R2 ? Explain your answer.
--(60)
S =
-3
28
Does the set S span R3 ? Explain your answer by using appropriate operations.
Find a vector u that satisfies u E span S and explain how you found.
Transcribed Image Text:Work Problem. Question 1. (a) b) b) b) Question 2 Question You must provide a clear and detailed solution for the question. For the given matrix if determinant of value is 2, then find the value off. find the inverse of the matrix after you calculated. Let W be the set of all the vectors of the form 2 2 3 A=0 1-2 7 (005) [] Is W closed under addition? Prove or give a counter example Let S be the set of the vectors written as: where x.y > 0. Is W closed under scalar multiplication? Prove or give a counter example. Can we conclude W is a subspace of R2 ? Explain your answer. --(60) S = -3 28 Does the set S span R3 ? Explain your answer by using appropriate operations. Find a vector u that satisfies u E span S and explain how you found.
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