00:03
Okay, so in order to find a singular value, a singular value is equal to the square root of, let's call it the, i guess, the positive eigenvalues of the matrix a transposed with matrix a.
00:28
So our matrix was that negative three matrix.
00:32
So first off, we need to find our a transpose a.
00:39
Okay, so because of the orientation and the way that matrix was, it's a pretty simple calculation.
00:47
But our a transpose a should be right there.
00:56
And then in order to find our eigenvalues, we're going to have to find the determinant of a transpose a, minus the r eigenvalue times the identity matrix.
01:12
And find when that is equal to zero.
01:15
So our new matrix, this piece right here, that's going to be 9 minus lambda, zero, zero, and then zero minus lambda, which is just negative lambda.
01:34
And in order to find that determinant, that's going to be negative lambda times 9 minus lambda is equal to zero.
01:51
So i'm going to open up a new slide...