Suppose there are no solutions to the system of linear equations with augmented matrix b1 1 1 a13 a14 b2 [A|5] = 3 a23 a24 %3D b3 -1 4 a33 a34 (a) The third and fourth columns of A must lie on the plane 11r - 5y+z = 0. Why? (b) Does b also lie on this plane? Why or why not?
Suppose there are no solutions to the system of linear equations with augmented matrix b1 1 1 a13 a14 b2 [A|5] = 3 a23 a24 %3D b3 -1 4 a33 a34 (a) The third and fourth columns of A must lie on the plane 11r - 5y+z = 0. Why? (b) Does b also lie on this plane? Why or why not?
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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![Suppose there are no solutions to the system of linear equations with augmented matrix
b1
1
1 a13 a14
b2
[A|5] =
3 a23 a24
%3D
b3
-1 4 a33
a34
(a) The third and fourth columns of A must lie on the plane 11r - 5y+z = 0. Why?
(b) Does b also lie on this plane? Why or why not?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F16587444-2baf-4a64-89bf-0dbc007ed50f%2F0a3e2d5d-f93f-4b6d-8fb5-abae960577cb%2Fauvzkeo.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose there are no solutions to the system of linear equations with augmented matrix
b1
1
1 a13 a14
b2
[A|5] =
3 a23 a24
%3D
b3
-1 4 a33
a34
(a) The third and fourth columns of A must lie on the plane 11r - 5y+z = 0. Why?
(b) Does b also lie on this plane? Why or why not?
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