Let A = 2 1 7 0 16 11 1 1 4 1 7 0 11 8 41 4 85 3 6 4 22 2 46 0 Two common online systems give different answers when asked to reduce A to reduced row-echelon form. Identify which matrix below is in reduced row echelon form and use it for this problem. system 1: A~ 1 0 3 0 7 07 0 1 1 0 2 0 0 0 0 1 -2 0 0 1 0000 A. What is the rank of A? system2: A~ B. What is the dimension of the column space of the A ? C. What is the dimension of the row space of the A ? 0 2 0 [1 0 3 0 7 0 1 1 0 0000 0 0001 -2 -5 1

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Let A =
7
0 16 1
1
1
4 1 7 0
11 8 41 4 85 3
6
4 22 2 46 0
Two common online systems give different answers when asked to reduce A to reduced row-echelon form.
Identify which matrix below is in reduced row echelon form and use it for this problem.
system 1: A~
1 0 3 0 7 0
0 1 1 0 2 0
0001 - 2 0
0 0 0 0
0 1
A. What is the rank of A ?
system2: A
B. What is the dimension of the column space of the A ?
{
C. What is the dimension of the row space of the A ?
D. What is the dimension of the null space of the A ?
E. Find a basis for the column space of A.
BE
1 0 3 0
0 1 1 0
0000
0 0 0 1 -2
7
0
2
0
0 1
}
-5]
Transcribed Image Text:Let A = 7 0 16 1 1 1 4 1 7 0 11 8 41 4 85 3 6 4 22 2 46 0 Two common online systems give different answers when asked to reduce A to reduced row-echelon form. Identify which matrix below is in reduced row echelon form and use it for this problem. system 1: A~ 1 0 3 0 7 0 0 1 1 0 2 0 0001 - 2 0 0 0 0 0 0 1 A. What is the rank of A ? system2: A B. What is the dimension of the column space of the A ? { C. What is the dimension of the row space of the A ? D. What is the dimension of the null space of the A ? E. Find a basis for the column space of A. BE 1 0 3 0 0 1 1 0 0000 0 0 0 1 -2 7 0 2 0 0 1 } -5]
F. Find a basis for the row space of A.
G. Find a basis for the null space of A.
{
}
Transcribed Image Text:F. Find a basis for the row space of A. G. Find a basis for the null space of A. { }
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