To calculate: The solution of the system by using the Gaussian elimination method.
The solution does not exists.
Given Information:
The matrix is defined as,
Calculation:
Consider the given equations,
Gaussian elimination transforms a system into triangular form. The system is in triangular form if the left side forms a triangle in which the leading coefficients are 1.
The last equation contains only one variable, and each equation above it contains the variables from the equation immediately below it.
Subtract equation 2 from 1 to eliminate x in equation 2 and multiply equation 1 by 3.
Multiply the equation 2 by
Eliminate the x -term in Equation 3.
Replace Equation 3 by addition 2 multiply equation 1 and equation 3.
The obtained result is incorrect for the third equation. Which indicate that the system has no solution.
Hence, the solution does not exists.
Chapter 7 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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