The function f(x)= (x-1)(x-2)(x-3)(x-4)(x-5) has five roots in the interval [0,7]. If the Bisection Method is applied on this interval which of the roots is located?
Let u and v be vectors in R^n and let T be a linear operator on R^n. Prove that T(n) dot T(v)=n dot v if and only if A^T=A^-1 when A is the standard matrix for T
