Consider the following system of linear equation 2x1 + 3x2 + 4x3 + x4 = 14 4x1 + 1x2 + 1x3 + 5x4 1x1 + 2x2 + 1x3 + 6x4 = = = 23 29 A) Find all basic solutions x= (x1, x2, x3, x4) obtained with B=[a2,a3,a4], i.e., the last three columns of matrix A of the linear system above. Then, FOR EACH BASIS, set XN (the non basic variable) something other than zero and obtain a solution which is NOT basic.

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A: Step 1: Step 2: Thank you.  Step 3: Step 4:

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