Find a basis for the following subsapce of the vector space of polynomials of degree ≤ 3:  W: = span {1+x+x2+x3,   -1+5x+x2+11zx3,     -1+2x+5x3,   1+6x+4x2+x3}

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 47CR: Find an orthonormal basis for the subspace of Euclidean 3 space below. W={(x1,x2,x3):x1+x2+x3=0}
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Find a basis for the following subsapce of the vector space of polynomials of degree ≤ 3: 

W: = span {1+x+x2+x3,   -1+5x+x2+11zx3,     -1+2x+5x3,   1+6x+4x2+x3}

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