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====== IAM 961 HW #4 ===== **Problem 1.** Trefethen & Bau exercise 15.1 **Problem 2.** Show that matrix-vector multiplication $y_i = \sum_{j=1}^n A_{ij} x_j$ 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.