W = Span {x1, X2, X3} Find an orthogonal base for the set using the Gram-Schmidt method. 0. X1 = X2 = X3 (As the inner product, R Use scalar multiplication on vectors in .) 0. 3 -1 0. 0. 3 1 1 1 1 1 3 1 1 -1 1 1 3 -1 -1

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.3: Orthonormal Bases:gram-schmidt Process
Problem 17E: Complete Example 2 by verifying that {1,x,x2,x3} is an orthonormal basis for P3 with the inner...
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W = Span {x1, X2, X3} Find an orthogonal base for the set using the Gram-Schmidt method.
0.
X1 =
X2 =
X3
(As the inner product, R Use scalar multiplication on vectors in .)
0.
3
2
-1
0.
0.
3
1
1
1
1
1
1
1
1
1
1
3
-1
-1
Transcribed Image Text:W = Span {x1, X2, X3} Find an orthogonal base for the set using the Gram-Schmidt method. 0. X1 = X2 = X3 (As the inner product, R Use scalar multiplication on vectors in .) 0. 3 2 -1 0. 0. 3 1 1 1 1 1 1 1 1 1 1 3 -1 -1
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