2 (90) 2 Determine if S={ all the correct answers }is a basis for R2 and check a. S is a basis b.s is not a basis because it does not span R² c.S is not a basis because S is not a linearly independent set d. S is a basis because S has two vectors. e. It is not possible to determine if S is a basis or not.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 48E
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2
-00
2
Determine if S = {
all the correct answers
is a basis for R² and check
a. S is a basis
b. S is not a basis because it does not span R²
c. S is not a basis because S is not a linearly independent set
Od. S is a basis because S has two vectors.
e. It is not possible to determine if S is a basis or not.
Transcribed Image Text:2 -00 2 Determine if S = { all the correct answers is a basis for R² and check a. S is a basis b. S is not a basis because it does not span R² c. S is not a basis because S is not a linearly independent set Od. S is a basis because S has two vectors. e. It is not possible to determine if S is a basis or not.
6
000
6 6 6
Determine if S = { 6
all the correct answers
6 6} is a basis for R³ and check
a. S is not a basis because S is not a linearly independent set
b. S is not a basis because it does not span R³
c. S is a basis because S has three linearly independent vectors.
d. It is not possible to determine if S is a basis or not.
Oe. The zero vector is not in the Span{S}.
Transcribed Image Text:6 000 6 6 6 Determine if S = { 6 all the correct answers 6 6} is a basis for R³ and check a. S is not a basis because S is not a linearly independent set b. S is not a basis because it does not span R³ c. S is a basis because S has three linearly independent vectors. d. It is not possible to determine if S is a basis or not. Oe. The zero vector is not in the Span{S}.
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