Solution Found!
Decide whether the following systems are singular or nonsingular, and whether they have
Chapter 1, Problem 1.5.18(choose chapter or problem)
QUESTION:
Decide whether the following systems are singular or nonsingular, and whether they have no solution, one solution, or infinitely many solutions: v w = 2 u v = 2 u w = 2 and v w = 0 u v = 0 u w = 0 and v + w = 1 u + v = 1 u + w = 1.
Questions & Answers
QUESTION:
Decide whether the following systems are singular or nonsingular, and whether they have no solution, one solution, or infinitely many solutions: v w = 2 u v = 2 u w = 2 and v w = 0 u v = 0 u w = 0 and v + w = 1 u + v = 1 u + w = 1.
ANSWER:Step 1 of 3
Given system of linear equations is
The coefficient matrix is
Now,
Since , the system is singular and has either no solution or infinitely many solutions.
Now,
Since and the system has no solution.