00:01
Another student question for today is we have given with the 4a inverse is equal with the matrix to 4 minus 3 2 right we need to find the matrix a which is very easy as we need to know the two formation that if having a some inverse okay and if we apply again the inverse so we are going to left with nothing but the same matrix so to get a what will do it we will take the inverse both sides.
00:34
So while taking in the inverse, let's say assume this is your b matrix.
00:39
We have assumed here.
00:41
So it will be equal to b, we have taken the inverse.
00:44
Now we are going to left with nothing but b inverse equal to 4.
00:47
So we need to find the inverse of this one matrix.
00:51
For that we will use the augmented matrix form, gors jordan elimination method.
00:56
So we will take here 2, 4, minus 2.
01:01
3 2 okay and here it will be nothing but identity matrix it will be 0101 now we need to make this matrix as identity and this matrix will be your inverse 1 right so for that first of all what we need to do we need to make here 1 for that we will do we will what we need to divide row with 2 so it will be 1 2 right 1 upon 2 and it will be 0 as it is now you need to make it as a 0.
01:33
So by that, in r2, you need to divide with r1 by multiplication with 3.
01:41
So it will be 3 plus you need to add, right? so it will be 0.
01:47
Okay...