5. Consider the 4 x 5 matrix A = [u₁|u2|u3|u4| u5], where the columns are U₁= 2 , U2 = 5 Uz = -1 -2 3 U4 = U5 = a) Find a set of vectors in {u1, U2, U3, U4, us} which is a basis of the column space of A. b) Find the rank of A.
5. Consider the 4 x 5 matrix A = [u₁|u2|u3|u4| u5], where the columns are U₁= 2 , U2 = 5 Uz = -1 -2 3 U4 = U5 = a) Find a set of vectors in {u1, U2, U3, U4, us} which is a basis of the column space of A. b) Find the rank of A.
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
![5. Consider the 4 x 5 matrix A = [u₁ | U2 | U3 | U4 | U5], where the columns are
U1 =
42 =
3
1
0
, uz =
2
-1
-2
3
, U4 =
0
, U5 =
124
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa8d46346-fe9f-45aa-a3a0-df12b7cae379%2F63e0c64a-6d53-403a-906f-9aba4fd0e5f8%2Fsow1wnj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5. Consider the 4 x 5 matrix A = [u₁ | U2 | U3 | U4 | U5], where the columns are
U1 =
42 =
3
1
0
, uz =
2
-1
-2
3
, U4 =
0
, U5 =
124
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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