Problem 1: Recall that given a vector norm |X| the operator norm of a matrix A is given by lAl = max|x|=1|AX|
Part I: Show that |I|= 1 for any the vector norm used. As always, I is the identity matrix.
Part II: Give at least one example to show that if A is invertible, the condition number of A, K(A) = |A||A-1| satisfies k(A)>0