Mathematics II207610 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 - 2y = 5 -x + y + 5z = 2 y + z = 0
When a system of linear equation is consistent and inconsistent? Give an example for each. Test the consistency and solve:
$x - 2y = 5$
$-x + y + 5z = 2$
$y + z = 0$
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System of equations: $$x - 2y = 5 \quad \cdots (1)$$ $$-x + y + 5z = 2 \quad \cdots (2)$$ $$y + z = 0 \quad \cdots (3)$$ Unknowns: $x, y, z$ (3 unknowns, 3 equations). Note: equation (1) has no $z$ term (coefficient 0) and equation (3) has no $x$ term (coefficient 0). --- Consistent system: has a...