-2 0 Let {U₁ = [ ² Q2], U₂ = [ 18 -18 -2 , U3 = be a basis for a subspace of R2×2. 0 0 Use the Gram-Schmidt process to find an orthogonal basis under the Frobenius inner product. -2 0 Orthogonal basis: V₁ = -1 -2 2 ] V₂ = a -18 b 0.82 V3 = -4 -1.29 }]} a = Ex: 5 b = Ex: 5 C Ex: 1.23 d = Ex: 1.23

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
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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-2 0
Let
{U₁ = [ ² Q2], U₂ = [ 18
-18
-2
, U3 =
be a basis for a subspace of R2×2.
0
0
Use the Gram-Schmidt process to find an orthogonal basis under the Frobenius inner product.
-2
0
Orthogonal basis:
V₁
=
-1
-2
2 ]
V₂
=
a -18
b
0.82
V3
=
-4
-1.29
}]}
a =
Ex: 5
b =
Ex: 5
C Ex: 1.23
d = Ex: 1.23
Transcribed Image Text:-2 0 Let {U₁ = [ ² Q2], U₂ = [ 18 -18 -2 , U3 = be a basis for a subspace of R2×2. 0 0 Use the Gram-Schmidt process to find an orthogonal basis under the Frobenius inner product. -2 0 Orthogonal basis: V₁ = -1 -2 2 ] V₂ = a -18 b 0.82 V3 = -4 -1.29 }]} a = Ex: 5 b = Ex: 5 C Ex: 1.23 d = Ex: 1.23
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