Write x as the sum of two vectors, one in Span {u₁,42,43} and one in Span {u4}. Assume that {u₁...,44} is an orthogonal basis for R4. 5 1 7 HEHEHEHE U4 1 1 -6 = 0 1 - 6 7 -5 X = 12 -9 5 0

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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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(SHOULD BE 2 MATRIXs)

Write x as the sum of two vectors, one in Span {u₁,42,43} and one in Span {u4}. Assume that {u₁,...,4} is an
orthogonal basis for R4.
5
7
ပြည်သ
U =
|, U2 = u3 =
- 6
1
-1
1
1
0
1
- 6
U4
7
1
X=
12
- 9
5
ဝ
X=
(Type an integer or simplified fraction for each matrix element.)
Transcribed Image Text:Write x as the sum of two vectors, one in Span {u₁,42,43} and one in Span {u4}. Assume that {u₁,...,4} is an orthogonal basis for R4. 5 7 ပြည်သ U = |, U2 = u3 = - 6 1 -1 1 1 0 1 - 6 U4 7 1 X= 12 - 9 5 ဝ X= (Type an integer or simplified fraction for each matrix element.)
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