Homework SourseUse the GaussJordan method with multiple inputs to invert th
Use the Gauss-Jordan method with multiple inputs to invert the matrix below. Show all of your work. Please use decimals.
Solution
Augmented Matrix :
R2=R2-3R1, R3=R3-R1, R4=R4+4R1
R2=R2/-8
R1=R1-4R2 , R3= R3+6R2,R4 = R4-18R2
R3=R3/2
R2=R2+R3/2 , R4 = R4-6R3
R4 = 2R4
R1 = R1-0.5R4 , R2=R2+0.3125R4 ,R3 = R3 - 0.625R4
So, Inverse Matrix is :
| 1 | 4 | -2 | -2 | : | 1 | 0 | 0 | 0 |
| 3 | 4 | -2 | -1 | : | 0 | 1 | 0 | 0 |
| 1 | -2 | 3 | 3 | : | 0 | 0 | 1 | 0 |
| -4 | 2 | 5 | 1 | : | 0 | 0 | 0 | 1 |
