00:01
Okay, now we are given the condition that the determinant for a specific matrix is equal to 6.
00:07
Use this fact we want to compute the determinant of another matrix.
00:15
For convenience, let's just call it the matrix a.
00:19
Okay, we want to use the property of the determinant to get the result.
00:24
First, as we know the determinant of this guy is equal to 6, so the determinant for its transpose is also equal to 6.
00:33
That means this will be equal to the determinant of the transpose.
00:37
The transpose will be equal to a, e, i for the diagonal entries.
00:42
We don't do anything for them.
00:44
And we have a, d, g here.
00:48
We have a, b, c here.
00:50
And we have f here and h here.
00:55
And this will be actually equal to minus 1 if we exchange the order of these two columns...