Given a matrix in its reduce echelon form. Explain whether or not there would be a vector b so that a. Ax=b has a unique solution b. Ax=b has infinitely many solutions c. Ax= b does not have any solution.

Given a matrix in its reduce echelon form. Explain whether or not there would be a vector b so that a. Ax=b has a unique solution b. Ax=b has infinitely many solutions c. Ax= b does not have any solution.

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

Given a matrix in its reduce echelon form. Explain whether or not there would be a vector b so that

a. Ax=b has a unique solution

b. Ax=b has infinitely many solutions

c. Ax= b does not have any solution.

I
0
0
0
0
-50-300 2
0 1 3 0 0 0
1- 01000
1-10000
00000
0

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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