Solve the system of equations
2x1 + 12x2 = 40
8x1 + 4x2 = 28
by applying repeated elementary row operations to the augmented matrix until the coefficient matrix is reduced to an identity matrix.
Solve System of equations
2007-10-27 2:50 pm
回答 (1)
2007-10-27 6:43 pm
✔ 最佳答案
The augmented matrix is[ 2 12 | 40 ]
[ 8 4 | 28 ]
R1 = R1 / 2, R2 = R2 / 8,
[ 1 6 | 20 ]
[ 1 1/2 | 7/2 ]
R2 = R2 - R1,
[ 1 6 | 20 ]
[ 0 -11/2 | -33/2 ]
R2 = R2 / (-11/2),
[ 1 6 | 20 ]
[ 0 1 | 3 ]
R1 = R1 - 6R2,
[ 1 0 | 2 ]
[ 0 1 | 3 ]
Therefore, x1 = 2, x2 = 3.
Check: 2(2) + 12(3) = 40, 8(2) + 4(3) = 28
收錄日期: 2021-04-13 14:11:18
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https://hk.answers.yahoo.com/question/index?qid=20071027000051KK00527