Mathematics II207510 marksNumerical: solving system of linear equationsSystem of linear equations
When a system of linear equation is consistent and inconsistent? Give an example for each. Test the consistency and solve: x + y + z = 4 x + 2y + 2z = 2 2x + 2y + z = 5
When a system of linear equation is consistent and inconsistent? Give an example for each. Test the consistency and solve:
$x + y + z = 4$
$x + 2y + 2z = 2$
$2x + 2y + z = 5$
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System of equations: $$x + y + z = 4 \quad \cdots (1)$$ $$x + 2y + 2z = 2 \quad \cdots (2)$$ $$2x + 2y + z = 5 \quad \cdots (3)$$ --- Consistent System: A system of linear equations is consistent if it has at least one solution (either a unique solution or infinitely many solutions). By the rank ...