D= [d₁ d₂]= brom 1 5 20 det U= { d₂ d₂} and let c=(-21, 47, 2, 4) a. Compute DT and explain why this justifies that I is an basis for . orthogonal b. Find a least-square solutions to Dx=6₂. Is this a unique solution ? Explain? C. Find a Vector Z & (Col-D) whose length is at the distance from C to ColD. Explain why this has shown that Dx=b is inconsistent d. T(x) = projet defines a linear transformation from R4= Col A. Compute the matrix of this linear transformation with respect to the Landard basis for the domain and the basis M for the codomain
D= [d₁ d₂]= brom 1 5 20 det U= { d₂ d₂} and let c=(-21, 47, 2, 4) a. Compute DT and explain why this justifies that I is an basis for . orthogonal b. Find a least-square solutions to Dx=6₂. Is this a unique solution ? Explain? C. Find a Vector Z & (Col-D) whose length is at the distance from C to ColD. Explain why this has shown that Dx=b is inconsistent d. T(x) = projet defines a linear transformation from R4= Col A. Compute the matrix of this linear transformation with respect to the Landard basis for the domain and the basis M for the codomain
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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![5
D= [d₁ db]= [ +12 33]
d₂]
20
-3
det U= { d₂ d₂}
and let c = (-21, 47, 2, 4)
a. Compute DA and explain why this justifies that I is an orthogonal
basis for
b. Find a least-square solutions to Dr. Is this a unique solution?
Explain?
C. Find a vector ZE
(Col) whose length is at the distance from
C to ColD. Explain why this has shown that Dx=b is
inconsistent
c
d. T(x) = projet defines a linear transformation from R4=
Col A.
Comporte the matrix of this linear transformation with respect to the
randard basis for the domain and the basis M for the codomain](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffef89c8d-d68c-46dc-ac67-99d2fb7935ec%2F2249b212-9fbd-42a5-945b-de458166044d%2F6v6kkuu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5
D= [d₁ db]= [ +12 33]
d₂]
20
-3
det U= { d₂ d₂}
and let c = (-21, 47, 2, 4)
a. Compute DA and explain why this justifies that I is an orthogonal
basis for
b. Find a least-square solutions to Dr. Is this a unique solution?
Explain?
C. Find a vector ZE
(Col) whose length is at the distance from
C to ColD. Explain why this has shown that Dx=b is
inconsistent
c
d. T(x) = projet defines a linear transformation from R4=
Col A.
Comporte the matrix of this linear transformation with respect to the
randard basis for the domain and the basis M for the codomain
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In question (c), please use the computed result to explain why Dx=c is inconsistent
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For this problem I believe that there is a typo. What I mean by b is actually c
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