00:01
Okay, so this problem again, we're given this big 5x5 matrix and are told to use some software to find our eigenvalues and vectors.
00:10
So the eigenvalues that i got were 1, negative 1, negative 1, i and negative i.
00:28
Now the eigenvectors that i got is going to be 1, 01, 0 ,000 ,000, i and negative i.
00:52
And a 0 -0 -1 -0 -0 -0 -0 -0 -1 i and then a 0 -0 -0 -0 -1 and negative i okay and then the big x t that i got from the software is e to the powder of t followed by four zeros then a zero one plus t, e to the negative t.
02:02
Okay, negative t, e to the negative t, 0 ,000, 0, t to the negative t, 0 ,000, negative, 0 ,000, negative, is sine of t, cosine of t, sine of t, and three more zeros...