To explain: how can recognize that the system has no solution when using Gaussian elimination to solve a system of linear equation and also give an example that illustrates answer.
Answer to Problem 108E
When a=b and a is clearly not equal to b then it is inconsistent and has no solution, while using Gaussian elimination to solve a system of linear equation
Explanation of Solution
Given information: A system of linear equation that has no solution.
Calculation:
While solving a system of linear equations by Gaussian elimination method, the key recognize that the system has no solution is that at some stage in the elimination process will get false statement such as 0=some non-zero number.
For example, let us consider a linear equation system,
-2 times row 1, added to row 2
So, When a=b and a is clearly not equal to b then it is inconsistent and has no solution.
Chapter 7 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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