1. Use MATLAB to solve the linear algebraic system 2. Solve the system T where is the Hilbert matrix discussed in Problem 1.28 of Chapter 1. Now solve the system T Discuss the results. In...

1. Use MATLAB to solve the linear algebraic system

2. Solve the system

^T

where

is the

Hilbert matrix discussed in Problem 1.28 of Chapter 1. Now solve the system

^T

Discuss the results.

In algebra, the polynomial

²



can be factored as

Under the right conditions, a matrix can also be factored. Exercises 2.13 and 2.14 are designed to introduce you to matrix factorization, a topic of great importance in numerical linear algebra.