00:01
As we have given here the equation 5 x minus 2y is equal to minus 3 and also 2x plus 5y is equal to minus 24.
00:13
So first step is to solve these equation by gaussian elimination method is to convert these equation in the matrix form.
00:22
So it will be as 5 minus 2 to 5.
00:29
Also the constant minus 3 minus 24 so this matrix is known as augmented matrix now we have converted this equation in augmented matrix form so now the next step would be to convert this augmented matrix in row equivalent matrix that means we have to convert this matrix in such a form as 1 .0 a 1 b c okay here a b c are the element of this matrix and this is form is known as row acclaimed form.
01:02
So we have to apply only row operation here to convert in such form.
01:06
So i'm just applying here as operation r2 is equal to 2r2.
01:12
Okay, so after applying this operation, the matrix will be as 5, 4, minus 2, 10, and also minus 3 minus 48.
01:24
Okay? now the next operation would be as r1 will be as r1 will be a as r1 minus r2 okay after applying this operation the matrix will become as 1 minus 12 and then 4 10 also the constant would be 45 and minus 48 okay now this element has become 1 okay now we have to make this element 0 so we will apply an operation in r2 and this operation will be as r2 minus 4r1.
02:07
Okay, so after applying this operation, the matrix will be as 1 -0 minus 12 and this will be 58 after applying operation and the constant will be as 45 and minus 2 to 8...