Third part of the same question...the only part i cant seem to understand at all....

A matrix M=[3,1,0;1,2,1;0,1,3] where ; specifies a new row

The characteristic equation is f(x)=(3-x)(x-4)(x-1)

The eigenvalues for the characteristic equation are 3, 4 and 1?

I need to find a matrix, U so that (U^t)*M*U is a diagonal matrix