= [9₁]. - - [13]} [7³]} 12 = -3 orthogonal basis under the Euclidean inner product. Use the Gram- Schmidt process. Consider U₁ {~-[9)--[]} V2 = -3 {√₁ = [03] ₁ ² = [3³]} V2 -3 0 ° {v₁ = [9₁] √2 = ₂ - [b]} 3 {v₁ = [23] ² [8]} , V2 = -3 a basis for R2. Identify an

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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Question
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"
:6:
FI
2
S
a basis for R2. Identify an
Consider u₁=
-3
orthogonal basis under the Euclidean inner product. Use the Gram-
Schmidt process.
W
F2
SP
X
{v₁ =
(-(9)-~-[6])
V2 =
{v₁ = [23], v² = [3³]}
{ v₁ = [₁] ₁ ₂
[]}
O
3
E
O
0
{v₁ = [23] ²= [8]}
V2 -
D
20
F3
C
$
4
888
F4
R
F
%
5
V
U₂
V2 =
F5
T
G
MacBook Air
B
F6
Y
H
&
7
F7
U
N
8
J
F8
1
M
(
9
K
F9
O
)
O
L
P
A
F11
Transcribed Image Text:" :6: FI 2 S a basis for R2. Identify an Consider u₁= -3 orthogonal basis under the Euclidean inner product. Use the Gram- Schmidt process. W F2 SP X {v₁ = (-(9)-~-[6]) V2 = {v₁ = [23], v² = [3³]} { v₁ = [₁] ₁ ₂ []} O 3 E O 0 {v₁ = [23] ²= [8]} V2 - D 20 F3 C $ 4 888 F4 R F % 5 V U₂ V2 = F5 T G MacBook Air B F6 Y H & 7 F7 U N 8 J F8 1 M ( 9 K F9 O ) O L P A F11
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