Consider the vectors U₁ = : 2x² - 2x and U₂ = x² + 3x + 1 in P₂. Which of the following vectors is a linear combination of U₁ ans U₂? Select one: O x² + 1 O x² + x + 1 O x² + x O More than one of these O None of these

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.CR: Chapter Review
Problem 8E
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5,6 Solve both questions plz these are just mcqs type questions so plz
Question 5
Consider the vectors U₁ = 2x²
2x² - 2x and
U₂ = -x² + 3x + 1 in P₂. Which of the
following vectors is a linear combination of U₁
ans U₂?
Select one:
O x² + 1
O x² + x + 1
O x² + x
O More than one of these
O None of these
Give your reasons
Transcribed Image Text:Question 5 Consider the vectors U₁ = 2x² 2x² - 2x and U₂ = -x² + 3x + 1 in P₂. Which of the following vectors is a linear combination of U₁ ans U₂? Select one: O x² + 1 O x² + x + 1 O x² + x O More than one of these O None of these Give your reasons
Question 6
N
Consider the vectors U₁ =
2
Select one:
03
O 1
02
V3 =
X
values, the value of x which makes these three
vectors linearly independent is:
of R2. Amongst the following
-3
= [3³] 2² = []
5
6
All of these
None of these
Give your reasons
Transcribed Image Text:Question 6 N Consider the vectors U₁ = 2 Select one: 03 O 1 02 V3 = X values, the value of x which makes these three vectors linearly independent is: of R2. Amongst the following -3 = [3³] 2² = [] 5 6 All of these None of these Give your reasons
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