Monday, April 18, 2011

`-2x + 6y = -22, x + 2y = -9` Use matricies to solve the system of equations (if possible). Use Gauss-Jordan elimination.

Given ,


`-2x + 6y = -22, x + 2y = -9`


A = `[[-2, 6], [1, 2]]`



and B = `[[-22], [-9]]`  


so the augmented matrix is


[A B]= `[[-2, 6, -22], [1, 2, -9]]`



step 1. Divide row 1 by -2


`[[1, -3, 11], [1, 2, -9]]`



Step 2: Subtract row 1 from row 2


`[[1, -3, 11], [0, 5, -20]]` 


Step 3: Divide row 2 by 5


`[[1, -3, 11], [0, 1, -4]]`



Step 4: Subtract (-3 × row 2) from row 1


`[[1, 0, -1], [0, 1, 4]]`



so the


values of x , y are x= -1 y = -4

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