Show that the following homogeneous system of linear equations x1 + x2 + x3 + x4 =0 x1 + 3x2 − 2x3 + x4 =0 2x1 − 3x3 + 2x4 =0 3x1 + 3x2 + 3x4 =0 has an infinite number of solutions. Hence obtain a general solution to the system.
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