2. For each system of linear algebraic equations, determine if the system is underdetermined, has an exact solution, or
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2. For each system of linear algebraic equations, determine if the system is underdetermined, has an exact solution, or is overdetermined. If the system is underdetermined, find the general solution and then find a particular solution and check your answer. If the system is exact, find the unique solution and check your answer. If the system is overdetermined, find a least squares solution. a) x1 - x2 + x3 – X. + x3 = 2 2.x, + 3x2 + 4x; – x4 – x3 = 5 4x; – 5x2 – x3 +6x4 – 7x; = 10 b) x1 + x2 + x3 + x4 = 1 -xy + 2x2 + 3x3 + x4 = 2 -2x1 + x2 + 2x3 + 2x4 = 3 3x1 + xy + x4 = 2