Solve the following system of linear equations by Gauss-Jordan elimination. 3x_1+6x_2-9x_3=7; 6x_1+3x_2-9x_3=6; x_1+2x_2-3x_3=2

Annie French

Annie French

Answered question

2022-11-10

Solve the following system of linear equations by Gauss-Jordan elimination.
3 x 1 + 6 x 2 9 x 3 = 7 6 x 1 + 3 x 2 9 x 3 = 6 x 1 + 2 x 2 3 x 3 = 2

Answer & Explanation

motylowceyvy

motylowceyvy

Beginner2022-11-11Added 19 answers

3 x 1 + 6 x 2 9 x 3 = 7 6 x 1 + 3 x 2 9 x 3 = 6 x 1 + 2 x 2 3 x 3 = 2
Solution by Gauss-Jordan elimination
[ 3 6 9 | 7 6 3 9 | 6 1 2 3 | 2 ] [ 1 2 3 | 7 / 3 2 1 3 | 2 1 2 3 | 2 ] [ 1 0 1 | 5 / 9 0 1 1 | 8 / 9 0 0 0 | 1 / 3 ]

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