In R4, using the dot product, consider the set B= Use the Gram-Schmidt procedure to produce an orthogonal set from B. You must use the Gram-Schmidt procedure on the vectors in the order they are given in the set. In your answer, separate vectors by a comma.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 46E
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In R4, using the dot product, consider the set
-{ELETED}
Use the Gram-Schmidt procedure to produce an orthogonal set from B.
You must use the Gram-Schmidt procedure on the vectors in the order they are given in the set. In your
answer, separate vectors by a comma.
B
Transcribed Image Text:In R4, using the dot product, consider the set -{ELETED} Use the Gram-Schmidt procedure to produce an orthogonal set from B. You must use the Gram-Schmidt procedure on the vectors in the order they are given in the set. In your answer, separate vectors by a comma. B
Recall that IR2 is equipped with the dot product.
Let (wy, w₂}-{[¹₁] []} be a basis of R2
Find an orthogonal basis {1,2} of R2. You must use the procedure in Example 1 on the vectors in the
order they are given in the set.
a. Find 71:
b. Find #2:
Transcribed Image Text:Recall that IR2 is equipped with the dot product. Let (wy, w₂}-{[¹₁] []} be a basis of R2 Find an orthogonal basis {1,2} of R2. You must use the procedure in Example 1 on the vectors in the order they are given in the set. a. Find 71: b. Find #2:
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