U3 -2 Let + { u ₁ = [ 7² ] ₁ v = [ 6 ] = [82]} 0 3 1 be a basis for a subspace of R2×2. Use the 0 -2 1 1 0 Gram-Schmidt process to find an orthogonal basis under the Frobenius inner product. 20 Orthogonal basis: V₁ = V2 a 6 = b راد 0.27 = 1.18 ¿]} a = Ex: 5 <> b = Ex: 5 <> c Ex: 1.230 d = 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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U3
-2
Let
+ { u ₁ = [ 7² ] ₁ v = [ 6 ] = [82]}
0
3
1
be a basis for a subspace of R2×2. Use the
0
-2
1
1
0
Gram-Schmidt process to find an orthogonal basis under the Frobenius inner product.
20
Orthogonal basis: V₁ =
V2
a
6
=
b
راد
0.27
=
1.18
¿]}
a = Ex: 5
<>
b = Ex: 5
<>
c Ex: 1.230
d = Ex: 1.230
Transcribed Image Text:U3 -2 Let + { u ₁ = [ 7² ] ₁ v = [ 6 ] = [82]} 0 3 1 be a basis for a subspace of R2×2. Use the 0 -2 1 1 0 Gram-Schmidt process to find an orthogonal basis under the Frobenius inner product. 20 Orthogonal basis: V₁ = V2 a 6 = b راد 0.27 = 1.18 ¿]} a = Ex: 5 <> b = Ex: 5 <> c Ex: 1.230 d = Ex: 1.230
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