{--9-B-B} find an orthogonal basis under the Euclidean inner product. be a basis for R³. Use the Gram-Schmidt process to -16' a Orthogonal basis: V1 = V2= V3 = b 0 10 a = Ex: 1.23 b = = Ex: 1.23 € c Ex: 1.230

Elementary Linear Algebra (MindTap Course List)
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Chapter4: Vector Spaces
Section4.5: Basis And Dimension
Problem 65E: Find a basis for the vector space of all 33 diagonal matrices. What is the dimension of this vector...
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Let u1 = [1, 2, 0], u2 = [-10, 20, 10], u3 = [3, -2, 4] be a basis for R3. Use the Gram-Schmidt process to find an orthogonal basis under the Eculidean inner product.

Orthogonal basis: v1 = [1, 2, 0], v2 = [-16, 8, 10], v3 = [a, b, c]

Solve for a, b, c.

{--9-B-B}
find an orthogonal basis under the Euclidean inner product.
be a basis for R³. Use the Gram-Schmidt process to
-16'
a
Orthogonal basis:
V1 =
V2=
V3 =
b
0
10
a = Ex: 1.23
b =
= Ex: 1.23 €
c Ex: 1.230
Transcribed Image Text:{--9-B-B} find an orthogonal basis under the Euclidean inner product. be a basis for R³. Use the Gram-Schmidt process to -16' a Orthogonal basis: V1 = V2= V3 = b 0 10 a = Ex: 1.23 b = = Ex: 1.23 € c Ex: 1.230
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