0 09 U3 Let (U₁ - [2 91]. U₂ = [188]. U-1)} = 0 Gram-Schmidt process to find an orthogonal basis under the Frobenius inner product. Orthogonal basis: V₁ a= Ex: 5 {v - [2 9] - [83] - [0.14 ]} 1] ²² = V3 = b4 b = Ex: 5 be a basis for a subspace of R2x2. Use the c = Ex: 1.23 d = Ex: 1.23

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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487772.3387870.qx3zqy7
Jump to level 1
0
Let (U₁ = [221]. U₂ - [ ].U-[]}
=
,U3 =
Gram-Schmidt process to find an orthogonal basis under the Frobenius inner product.
Orthogonal basis:
a = Ex: 5
+
(v₁- [2 9], ²₂-18 21.1
=
1/2
=
[82], = [1
V3
b = Ex: 5
be a basis for a subspace of R2x2. Use the
c= Ex: 1.23
0.31
-0.14
d = Ex: 1.23
d}
>-> ~>-D-D-
Transcribed Image Text:487772.3387870.qx3zqy7 Jump to level 1 0 Let (U₁ = [221]. U₂ - [ ].U-[]} = ,U3 = Gram-Schmidt process to find an orthogonal basis under the Frobenius inner product. Orthogonal basis: a = Ex: 5 + (v₁- [2 9], ²₂-18 21.1 = 1/2 = [82], = [1 V3 b = Ex: 5 be a basis for a subspace of R2x2. Use the c= Ex: 1.23 0.31 -0.14 d = Ex: 1.23 d} >-> ~>-D-D-
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