You are given that 1 1 -1 3 3 can be -2 -1 row reduced to 1 0 -2 0 1 0 0 0 Given that p1 =1- x, P2 = 5+ 3x – 2x2 and P3 = 1+ 3x –- x², consider the following statements: %3D 1. {P1, P2, P3} is linearly independent. 2. {P1, P2, P3} is a basis for P2 . 84

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.5: Basis And Dimension
Problem 67E
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You are given that
1
1
-1
3
3
can be
0 -2
-1
row reduced to
1 0
-2
1
2
0 0
Given that pi =1- x,
P2 = 5+ 3x – 2x? and
рз — 1 + 3а — 2*, consider
the following statements:
1. {P1, P2, P3} is linearly
independent.
2. {P1, P2, P3} is a basis for
P2.
84
Transcribed Image Text:You are given that 1 1 -1 3 3 can be 0 -2 -1 row reduced to 1 0 -2 1 2 0 0 Given that pi =1- x, P2 = 5+ 3x – 2x? and рз — 1 + 3а — 2*, consider the following statements: 1. {P1, P2, P3} is linearly independent. 2. {P1, P2, P3} is a basis for P2. 84
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