-3 be a basis for R³. Use the Gram-Schmidt process to Let 3 = Աշ -20 = U3 4 «{¨Ð-E¯Ð} 10 2 find an orthogonal basis under the Euclidean inner product. -0-0-8 Orthogonal basis: V₁ = a = Ex: 1.23 b = = Ex: 1.230 c Ex: 1.230
-3 be a basis for R³. Use the Gram-Schmidt process to Let 3 = Աշ -20 = U3 4 «{¨Ð-E¯Ð} 10 2 find an orthogonal basis under the Euclidean inner product. -0-0-8 Orthogonal basis: V₁ = a = Ex: 1.23 b = = Ex: 1.230 c Ex: 1.230
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 10E
Related questions
Question
Let u1 = [1, 3, 0], u2 = [-20, 30, 10], u3 = [4, -3, 2] be a basis for R3. Use the Gram-Schmidt process to find an orthogonal basis under the Eculidean inner product.
Orthogonal basis: v1 = [1, 3, 0], v2 = [-27, 9, 10], v3 = [a, b, c]
Solve for a, b, c.
![-3 be a basis for R³. Use the Gram-Schmidt process to
Let
3
=
Աշ
-20
=
U3
4
«{¨Ð-E¯Ð}
10
2
find an orthogonal basis under the Euclidean inner product.
-0-0-8
Orthogonal basis: V₁ =
a = Ex: 1.23
b =
= Ex: 1.230
c Ex: 1.230](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7e91f5e6-ad6f-436a-b13b-38734a3209ad%2F75d62d7b-d19f-4850-9a70-b95fe46f1e09%2Foeysht5_processed.png&w=3840&q=75)
Transcribed Image Text:-3 be a basis for R³. Use the Gram-Schmidt process to
Let
3
=
Աշ
-20
=
U3
4
«{¨Ð-E¯Ð}
10
2
find an orthogonal basis under the Euclidean inner product.
-0-0-8
Orthogonal basis: V₁ =
a = Ex: 1.23
b =
= Ex: 1.230
c Ex: 1.230
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