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You've been offered a job at the Dunder Mifflin Paper Company as a Solver of Linear Equations. Your colleague Michael is great at solving systems of linear equations and he offers to give you a demonstration. He finds the LU factorization of a 300 x 300 matrix M in 13 seconds. He then takes another 2 seconds to apply both triangular substitutions (backward and forward) to solve the system of linear equations Mx = c for a given vector c. As Assistant to the Regional Manager, Dwight wants to test your knowledge and asks you to estimate the time t that takes to factorize and efficiently solve the system Ax = b, where A is a square matrix with dimension 1200, given 30 different right-hand side b vectors. Dwight says you should not solve the problem, but instead obtain your estimate using the information from Michael's demonstration. Provide your time estimate t in the answer box below.

You've been offered a job at the Dunder Mifflin Paper Company as a Solver of Linear Equations. Your colleague Michael is great at solving systems of linear equations and he offers to give you a demonstration. He finds the LU factorization of a 300 x 300 matrix M in 13 seconds. He then takes another 2 seconds to apply both triangular substitutions (backward and forward) to solve the system of linear equations Mx = c for a given vector c. As Assistant to the Regional Manager, Dwight wants to test your knowledge and asks you to estimate the time t that takes to factorize and efficiently solve the system Ax = b, where A is a square matrix with dimension 1200, given 30 different right-hand side b vectors. Dwight says you should not solve the problem, but instead obtain your estimate using the information from Michael's demonstration. Provide your time estimate t in the answer box below.

Database System Concepts
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
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 Answer: 1.792e3 seconds

You've been offered a job at the Dunder Mifflin Paper Company as a Solver of Linear Equations. Your colleague Michael is great at solving systems of linear equations and he offers to give you a demonstration. He finds the LU factorization of a 300 x 300 matrix M in 13 seconds. He then takes another 2 seconds to apply both triangular substitutions (backward and forward) to solve the system of linear equations Mx = c for a given vector c. As Assistant to the Regional Manager, Dwight wants to test your knowledge and asks you to estimate the time t that takes to factorize and efficiently solve the system Ax = b, where A is a square matrix with dimension 1200, given 30 different right-hand side b vectors. Dwight says you should not solve the problem, but instead obtain your estimate using the information from Michael's demonstration. Provide your time estimate t in the answer box below.
Transcribed Image Text:You've been offered a job at the Dunder Mifflin Paper Company as a Solver of Linear Equations. Your colleague Michael is great at solving systems of linear equations and he offers to give you a demonstration. He finds the LU factorization of a 300 x 300 matrix M in 13 seconds. He then takes another 2 seconds to apply both triangular substitutions (backward and forward) to solve the system of linear equations Mx = c for a given vector c. As Assistant to the Regional Manager, Dwight wants to test your knowledge and asks you to estimate the time t that takes to factorize and efficiently solve the system Ax = b, where A is a square matrix with dimension 1200, given 30 different right-hand side b vectors. Dwight says you should not solve the problem, but instead obtain your estimate using the information from Michael's demonstration. Provide your time estimate t in the answer box below.
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