Q9 (5 points) Let A € Rxn be nonsingular. Write (A) = ||A||·||A¯¹||. (a) Show that K(I) = 1 for any induced matrix norm || - ||. (b) Show that K(A)

> 1 for any consistent matrix norm · II. Note: K(A) is called the condition number of A and will be introduced later in this course.