00:01
In this problem we are given the system of equations 4x1 minus 5x2 plus 3x3 plus 4x4 is equal to 2 negative x1 plus x2 plus 2x3 plus 2x4 is equal to 4 3x1 minus 4x2 plus 5x3 plus 6 6 1 minus 4 x2 plus 5 x3 plus 6 3 plus 6 1 minus 4 x2 plus 6 6 2 plus 6 3 plus 6 2 plus 6 2.
00:32
6x4 is equal to 6 .3 x1 minus 3 x2 minus 6x3 minus 6x4 is equal to negative 12.
00:45
Now first consider the last equation.
00:49
Divide throughout by negative 3 to get this as negative x1 plus x2 plus 2x3 plus 2x3 plus 2 x4 is equal to 4 which is same as the second.
01:03
Equation.
01:04
So to solve this system of four equation, it is enough to solve this system of three equations.
01:11
We can use the gaussian elimination method to do so.
01:15
So for that first construct the augmented matrix as 4 negative 5 3, 4, 2, negative 1, 1, 2, 4, 3, negative 4, 5, 5, 6...