Problem 1. Trefethen & Bau exercise 15.1
Problem 2. Show that matrix-vector multiplication is backward stable when computed with floating-point operations that satisfy the fundamental axioms of floating-point arithmetic. You can use the backwards stability of floating-point computation of the inner product between two vectors.
Problem 3. Trefethen & Bau exercise 16.1
Due Monday 11/17 in lecture.