Why is the set {91 +124t² - 61t³, 66 − 58t +93t², 22 + 248t — 87t² } not a basis for P3(R)? Select all that apply. The set is linearly dependent. ✓ It is not a spanning set. The set contains too many elements. ✓ The set contains too few elements. It is not a subset of P3(R)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 56E
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Why is the set
{ 91 + 124ť² – 61ť³, 66 − 58t + 93t², 22 + 248t − 87t² }
not a basis for P3(R)? Select all that apply.
The set is linearly dependent.
It is not a spanning set.
The set contains too many elements.
✓ The set contains too few elements.
It is not a subset of P3(R)
४
Transcribed Image Text:Why is the set { 91 + 124ť² – 61ť³, 66 − 58t + 93t², 22 + 248t − 87t² } not a basis for P3(R)? Select all that apply. The set is linearly dependent. It is not a spanning set. The set contains too many elements. ✓ The set contains too few elements. It is not a subset of P3(R) ४
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