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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Solve in reduced row echelon form by Gaussian elimination

Consider the system of linear equations: -x1 + 2x2 + 3x3 + x4 = 3 2x1 - 4x2 + x3 + 2x4 = -1 -3x1 + 8x2 + 4x3 - x4 = 6 x1 + 4x2 + 7x3 - 2x4 = -4 i) Solve the systems of equations for x1, x2, x3, x4 utitilizing the Gauss-Jordan method. ii) Obtain the Lower & Upper triangular matrices for the system of linear equations. iii) Use the LU factorization obtained in iii) to solve for x1, x2, x3, x4. N.b : Don't kindly lift answers from other experts solution.