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Linear algebra For the following systems of equations, determine if there are no solutions, a unique solution, or many solutions. If the solution is unique,

Linear algebra

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For the following systems of equations, determine if there are no solutions, a unique solution, or many solutions. If the solution is unique, find it; if there are many solutions then specify thee free variables. X1+3(X3) =4 3(X1) +2(X2) -(X3) +(X4) =0 2(X1) + 2(X2) +8(X3) = 4 2X1 +X3 -2X4 =7 X2+ 5X3 = 2 X1 +X2 - 4X3= 1 4X1 +X2 + 4X3 - X4=6 X1 + X2= 1 X1 -2X2 +X4 =1 X2+ X3 = -4 X3 -3X4=1 4X1 + 6X2+ 2X3 - -4 X1 -2X2 +X3 -2X4= 1

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