How do you solve using gaussian elimination or gauss-jordan elimination, #3x+2y = -9#, #-10x + 5y = - 5#?
First create the augmented matrix:
For Gaussian elimination , we eliminate by combining rows to get a lower triangle matrix.
Then back substitute, so from the second row:
From first row:
For Gauss-Jordan elimination , we row reduce to the identity matrix ie
Then we can do this:
Finally we divide each row by its pivot, ie: