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 3125 seconds. She then takes another 25 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 400, given 50 different right-hand side b vectors. Provide your time estimate t in the answer box below. t = number (4 significant figures) seconds ?
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 3125 seconds. She then takes another 25 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 400, given 50 different right-hand side b vectors. Provide your time estimate t in the answer box below. t = number (4 significant figures) seconds ?
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 3125 seconds. She then takes another 25
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 400, given 50 different right-hand side b vectors. Provide your time estimate t in the
answer box below.
t
= number (4 significant figures)
seconds
?
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