1. Consider the following system of equations. x₁ + 2x₂ = 1 (106 + 10-¹6)x₁ + 2(106)x₂ = 106 a) In Matlab, setup your A and B matrices in a script called hmk5_1.m. b) In Matlab, solve using Cramer's Rule, inverse, and backslash methods. Output the results to the command window. c) Comparing all the results from part (b), were the solutions as expected? Intuitively, looking at the system of equations, why do you think this occurred? Please comment on this in the reflection.

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
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Answer this computer science problem please

1. Consider the following system of equations.
x₁ + 2x₂ = 1
(106 + 10-¹6)x₁ + 2(106)x₂ = 106
a) In Matlab, setup your A and B matrices in a script called hmk5_1.m.
b) In Matlab, solve using Cramer's Rule, inverse, and backslash methods. Output the
results to the command window.
c) Comparing all the results from part (b), were the solutions as expected? Intuitively,
looking at the system of equations, why do you think this occurred? Please comment
on this in the reflection.
d) In Matlab, calculate the condition of the system of equations using the infinity norm.
Is the system ill conditioned? Please comment on this in the reflection.
Transcribed Image Text:1. Consider the following system of equations. x₁ + 2x₂ = 1 (106 + 10-¹6)x₁ + 2(106)x₂ = 106 a) In Matlab, setup your A and B matrices in a script called hmk5_1.m. b) In Matlab, solve using Cramer's Rule, inverse, and backslash methods. Output the results to the command window. c) Comparing all the results from part (b), were the solutions as expected? Intuitively, looking at the system of equations, why do you think this occurred? Please comment on this in the reflection. d) In Matlab, calculate the condition of the system of equations using the infinity norm. Is the system ill conditioned? Please comment on this in the reflection.
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