= 5. Consider the 4 x 5 matrix A = [u₁|u2|u3|us| us], where the columns are U₂ = Uz = A U4 = 8 -1 1 U5 = 1 a) Find a set of vectors in {u₁, U2, U3, us, us) which is a basis of the column space of A. b) Find the rank of A. D o
= 5. Consider the 4 x 5 matrix A = [u₁|u2|u3|us| us], where the columns are U₂ = Uz = A U4 = 8 -1 1 U5 = 1 a) Find a set of vectors in {u₁, U2, U3, us, us) which is a basis of the column space of A. b) Find the rank of A. D o
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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![ill
5 of 6
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Clear
UTD Fall 2022 Math 2418 HW 7
UTD Fall 2022 Math 2418 Chapte X
File C:/Users/rubai/OneDrive/UTD%20Fall%202022%20Math%202418%20HW%207%20Questions.pdf
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UTD Fall 2022 Math 2418 Chapte X
+
U₁ =
5. Consider the 4 × 5 matrix A = [u₁ | U2 | U3 | U4 | u5], where the columns are
U₂ =
, uz =
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CD |
3
, U4 =
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UTD Fall 2022 Math 2418 Chapte X
₂ U5 =
a) Find a set of vectors in {u1, U2, U3, U4, u5} which is a basis of the column space of A.
b) Find the rank of A.
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Transcribed Image Text:ill
5 of 6
55°F
Clear
UTD Fall 2022 Math 2418 HW 7
UTD Fall 2022 Math 2418 Chapte X
File C:/Users/rubai/OneDrive/UTD%20Fall%202022%20Math%202418%20HW%207%20Questions.pdf
X
UTD Fall 2022 Math 2418 Chapte X
+
U₁ =
5. Consider the 4 × 5 matrix A = [u₁ | U2 | U3 | U4 | u5], where the columns are
U₂ =
, uz =
2
CD |
3
, U4 =
T
H
UTD Fall 2022 Math 2418 Chapte X
₂ U5 =
a) Find a set of vectors in {u1, U2, U3, U4, u5} which is a basis of the column space of A.
b) Find the rank of A.
<
+
5}
P
C
60
ENG
I
Bo
60
x
:
9:09 PM
10/18/2022
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