Define system of linear equations. When a system of equation is consistent? Determine if the system is consistent:
Define system of linear equations. When a system of equation is consistent? Determine if the system is consistent:
$$-2x_1 - 3x_2 + 4x_3 = 5$$ $$x_2 - 2x_3 = 4$$ $$x_1 + 3x_2 - x_3 = 2$$
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A system of linear equations is a collection of one or more linear equations involving the same set of variables. A single linear equation has the form: $$a1x1 + a2x2 + \cdots + anxn = b$$ where $a1, \ldots, an, b$ are constants and $x1, \ldots, xn$ are unknowns. A system has $m$ such equations i...