00:02
Property of determinants tells us that the determinant of the product is equal to the product of the determinants.
00:07
So for our problem, the determinant of b to the fourth is equal to the determinant of b, all to the fourth power.
00:14
The first thing that we're going to need to do is find the determinant of b.
00:17
We're going to do this using co -factor expansion.
00:21
And it's easiest to expand upon the row or column with the most amount of zeros, which in our case is going to be the first row, one, zero one.
00:27
And remember to multiply these scalar numbers by their respective sign, positive, negative, positive.
00:31
So we're going to start out by multiplying 1 by the determinant of the 2 by 2 matrix.
00:37
That's not part of the row or column that includes 1 .1 2, 2, 1...