Echelon Method of Solving a Linear System

Echelon Method  of Solving a Linear System

a. If possible , arrange the equation so that these is an x1 – term in the first equation, an x2 –term in the second equation, and so on.

b. Eliminate the x1 –term in all equations after the first equation.

c. Eliminate the x2 –term in all equations after the second equation.

d. Eliminate the x3 –term in all equation after the third equation.

e. Continue in this way until the last equation has the form axn = k, for constants a and k, if possible.

f. Multiply each equation by the reciprocal of the coefficient of its first term.

g. Use back-substitution to find the value of each variable.

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