The reduced row echelon form of a system of linear equation isgiven: 1 0 0 0 / 1

Question

The reduced row echelon form of a system of linear equation isgiven: 1 0 0 0 / 1 0 1 0 0 / 2 0 0 1 0 / 3 0 0 0 1 / 0 Write the system of equalities corresponding to the givenmatrix, use x1, x2, x3,x4 as variables. Determine if the system is consistentor inconsistent, if consistent give the solution. The reduced row echelon form of a system of linear equation isgiven: 1 0 0 0 / 1 0 1 0 0 / 2 0 0 1 0 / 3 0 0 0 1 / 0 Write the system of equalities corresponding to the givenmatrix, use x1, x2, x3,x4 as variables. Determine if the system is consistentor inconsistent, if consistent give the solution.

Explanation / Answer

x1=1 x2=2 x3=3 x4=0 They system is consistent because there are 4 pivot points in the4X4 matrix. The solution is the same as the four above equalities.

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