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in this lesson weamp;#39;re going to use the gauss jordan elimination to solve a system of equations with three variables so hereamp;#39;s the problem x plus y minus z is equal to seven and then weamp;#39;ll have x minus y plus two z thatamp;#39;s equal to three and then two x plus y plus z is equal to nine now the first thing we need to do is convert this to an augmented matrix so we need to write the coefficients so itamp;#39;s going to be 1 1 negative 1 and then to separate the left side from the right side weamp;#39;re going to use the vertical bar now letamp;#39;s put 7 on the right side and then itamp;#39;s going to be 1 negative 1 2 3 and then 2 1 1 9. now what we need to do is we need to make sure that these three numbers and these three are zeros and then these three numbers which form the main diagonal are ones only and in that form itamp;#39;s going to be in reduced row echelon form and whatever numbers we see here will be the values of x y and z so letamp;#39;s go
