(Recommended) Execute the six steps of Worked Example 3.3 A to describe the column space and nullspace of A and the complete solution to Az = b: A = 2464 A = 2 5 7 6 2352 Carry out the same six steps for this matrix A with rank one. You will find two conditions on b₁,b2, b3 for Az = b to be solvable. Together these two conditions put b into the space (two planes give a line): 32 [213] 213 639 426 5 b= b₁ b₂ ხვ. = 10 [] 20

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 3CEXP
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I need help with parts a and b please

(Recommended) Execute the six steps of Worked Example 3.3 A to describe the
column space and nullspace of A and the complete solution to Az = b:
4
A =
2464
A = 2 5 7 6
2352
32
Carry out the same six steps for this matrix A with rank one. You will find two
conditions on b₁,b2, b3 for Az = b to be solvable. Together these two conditions
put b into the
space (two planes give a line):
2 1 3
[213]
b₁
b= b₂
-[
=
5
639
---
b=
4 26
b₁
ხვ
=
20
Transcribed Image Text:(Recommended) Execute the six steps of Worked Example 3.3 A to describe the column space and nullspace of A and the complete solution to Az = b: 4 A = 2464 A = 2 5 7 6 2352 32 Carry out the same six steps for this matrix A with rank one. You will find two conditions on b₁,b2, b3 for Az = b to be solvable. Together these two conditions put b into the space (two planes give a line): 2 1 3 [213] b₁ b= b₂ -[ = 5 639 --- b= 4 26 b₁ ხვ = 20
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