For 10a is not the matrix we need to get back (a, b, c, d) not (1, 1, 1, 1)?
Right, but this form/factorization just shows (easily, I hope) that there is an eigenvector when a=b=c=d=1. To get more general I think there is no choice but to do the usual: solve the characteristic equation, solve for the eigenvectors.
For 10a is not the matrix we need to get back (a, b, c, d) not (1, 1, 1, 1)?
ReplyDeleteRight, but this form/factorization just shows (easily, I hope) that there is an eigenvector when a=b=c=d=1. To get more general I think there is no choice but to do the usual: solve the characteristic equation, solve for the eigenvectors.
ReplyDelete