00:01
Hello, so all skew -symmetric three -by -three matrices can be written of the form.
00:06
A equal to, so 0, b, d, and then negative b, 0, e, and then negative d, and then negative d, negative e, zero.
00:21
So all theory three skew -symmetric matrices have this form, and then since a transpose, we know, is equal to here, a, so then we can write a being equal to, well, b times the first matrix plus d times the second plus e times the third, and we get our basis for a is going to be, well, our first matrix is going to be 0, 1, 0, 0, 0, negative 1, then 0, 0, 0 ,000, and then 0 ,0, 0 ,000, and then 0 ,0, 0 ,0, 0 ,0, 0 ,000, 0, 0, 0 ,000...