K Write x as the sum of two vectors, one in Span {u₁,u2,u3} and one in Span (u4}. Assume that (u1.... 4) is an orthogonal basis for R4. x= 0 6 1 8 12 1 8 0 -6 - 8 U₁ = U2 43 = ' U4= x= -7 1 - 1 1 1 -7 -1 5 0 (Type an integer or simplified fraction for each matrix element.)
K Write x as the sum of two vectors, one in Span {u₁,u2,u3} and one in Span (u4}. Assume that (u1.... 4) is an orthogonal basis for R4. x= 0 6 1 8 12 1 8 0 -6 - 8 U₁ = U2 43 = ' U4= x= -7 1 - 1 1 1 -7 -1 5 0 (Type an integer or simplified fraction for each matrix element.)
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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Transcribed Image Text:K
Write x as the sum of two vectors, one in Span {u₁,u2,u3} and one in Span (u4}. Assume that (u1.... 4) is an orthogonal basis for R4.
x=
0
6
1
8
12
1
8
0
-6
- 8
U₁ =
U2
43 =
'
U4=
x=
-7
1
- 1
1
1
-7
-1
5
0
(Type an integer or simplified fraction for each matrix element.)
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