To find: values of a, b and c (if possible) such that the system of linear equations has (a) a unique solution (b) no solution and (c) an infinite number of solutions.
Answer to Problem 104E
(a) If a + b + c=0, will have a unique solution.
(b) If
(c) Never can have an infinity number of solutions.
Explanation of Solution
Given information: The given system of linear equation is,
Calculation:
The given system of linear equation is,
The augmented matrix of the given system of linear equations is,
Use Gauss Jordan elimination. Doing
Doing
Doing
Doing
Doing
Finally ,doing
Then, by back substitution.
Then, the system
(d) If a + b + c=0, will have a unique solution.
(e) If
(f) Never can have an infinity number of solutions.
Chapter 7 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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