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AlgebraQ&A LibraryFor each of the systems of equations that follow,use Gaussian elimination to obtain an equivalentsystem whose coefficient matrix is in row echelonform. Indicate whether the system is consistent.If the system is consistent and involves no freevariables, use back substitution to find the uniquesolution. If the system is consistent and there arefree variables, transform it to reduced row echelonform and find all solutions. x1+ 2x2− 3x3+ x4= 1 −x1− x2+ 4x3− x4= 6 −2x1− 4x2+ 7x3− x4= 1Start your trial now! First week only $4.99!*arrow_forward*

Question

For each of the systems of equations that follow,

use Gaussian elimination to obtain an equivalent

system whose coefficient matrix is in row echelon

form. Indicate whether the system is consistent.

If the system is consistent and involves no free

variables, use back substitution to find the unique

solution. If the system is consistent and there are

free variables, transform it to reduced row echelon

form and find all solutions. x1+ 2x2− 3x3+ x4= 1

−x1− x2+ 4x3− x4= 6

−2x1− 4x2+ 7x3− x4= 1

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