3. Let - (10-¹6 1) A = b-(3) and b = Here we will see the effect of using a tiny element as a pivot. (a) By hand, solve the linear system Ax - b exactly. Write your answer in a form where it is clear what the approximate values of x₁ and x₂ are. (b) In MATLAB, enter the matrix A and type cond (A) to determine the 2-norm condition number of A. Would you say that this matrix is well conditioned or ill conditioned in the 2-norm? = (c) Write a MATLAB code (or use one from the text) that does not do partial pivoting to solve the linear system Ax b. Compare the answer returned by this code to the one that you determined by hand

3. Let - (10-¹6 1) A = b-(3) and b = Here we will see the effect of using a tiny element as a pivot. (a) By hand, solve the linear system Ax - b exactly. Write your answer in a form where it is clear what the approximate values of x₁ and x₂ are. (b) In MATLAB, enter the matrix A and type cond (A) to determine the 2-norm condition number of A. Would you say that this matrix is well conditioned or ill conditioned in the 2-norm? = (c) Write a MATLAB code (or use one from the text) that does not do partial pivoting to solve the linear system Ax b. Compare the answer returned by this code to the one that you determined by hand

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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