The Parks and Rec department has an opening for a Solver of Linear Equations. Since Leslie is great at solving systems of linear equations she zealously offers to give all candidates a quick demonstration. She finds the LU factorization of a 2000 x 2000 matrix M in 4096 seconds. She then takes another 256 seconds to apply both triangular substitutions (backward and forward) to solve the system of equations Mx = y for a given vector y. The candidates are supposed to estimate (without actually running any code) the time it takes to factorize and efficiently solve a similar system of linear equations Ax =b, where A is a square matrix with dimension 500, given 30 different right-hand side b vectors. Provide your time estimate t in the answer box below.
The Parks and Rec department has an opening for a Solver of Linear Equations. Since Leslie is great at solving systems of linear equations she zealously offers to give all candidates a quick demonstration. She finds the LU factorization of a 2000 x 2000 matrix M in 4096 seconds. She then takes another 256 seconds to apply both triangular substitutions (backward and forward) to solve the system of equations Mx = y for a given vector y. The candidates are supposed to estimate (without actually running any code) the time it takes to factorize and efficiently solve a similar system of linear equations Ax =b, where A is a square matrix with dimension 500, given 30 different right-hand side b vectors. Provide your time estimate t in the answer box below.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The Parks and Rec department has an opening for a Solver of Linear Equations. Since Leslie is great at
solving systems of linear equations she zealously offers to give all candidates a quick demonstration.
She finds the LU factorization of a 2000 x 2000 matrix M in 4096 seconds. She then takes another 256
seconds to apply both triangular substitutions (backward and forward) to solve the system of equations
Mx = y for a given vector y.
The candidates are supposed to estimate (without actually running any code) the time it takes to factorize
and efficiently solve a similar system of linear equations Ax =b, where A is a square matrix with
dimension 500, given 30 different right-hand side b vectors. Provide your time estimate t in the answer box
below.
t = number (4 significant figures)
seconds e
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