00:01
In this problem, we are given the system negative 3x plus 5y is equal to negative 27, 3x plus 4y is equal to 0 and 4x minus 8y is equal to 40.
00:15
We are asked to solve this system either by using gaussian elimination or by using gauss jordan elimination.
00:24
So by goes jordan elimination, we can solve this system.
00:30
Now consider the last equation divide throughout by 4 to get this equation as x minus 2y is equal to 10.
00:37
Now form the matrix a which is the coefficient matrix of these equations and that is negative 3, 5, 3, 4 and 1 negative 2.
00:48
Also form the matrix b which is the matrix formed by the right hand side of each equation.
00:55
So that is negative 27, 0 and 10.
00:58
Now form the augmented matrix as negative 3 5 negative 27 340 1 negative to 10.
01:11
Now in ghost jordan elimination we perform elementary row operation on this augmented matrix so as to convert this matrix a to its reduced raw echelon form denoted as rrf.
01:24
So for that first perform the raw operation r1 changes to negative...