Here is the question that I am stuck on
Construct the matrix X that reduces B to diagonal form through the transformation
Confirm that D is diagonal, that the diagonal elements of D are the
eigenvalues of B and that det(B) = det(D).
I then get to the point where and therefore my eigen values are and my eigen vectors as and .
The matrix X is made from the eigen values of B. So . I get as being
Now I have to find the cofactor of X and then transpose of the cofactor in order to eventually get the inverse of X.
which I get as
I now have all the components required to find D.
So when I multiply them all together i get
Which is evidently wrong. Can anyone see roughly where i could have gone wrong and then i will post a more detailed process of what i was doing at that stage.
Thanks for reading and any help that come with it