Use Gaussian elimination or Gauss-Jordan elimination to solve the problem. A basketball fieldhouse seats 15,000. Courtside seats sell for $8, endzone seats for $7, and balcony for $5. Total for a sellout is $88,000. If half the courtside and balcony and all endzone seats are sold, tickets sales total $51,000. If the first colum represents the number of courtside seats, the second column represents the number of endzone seats, and the third column represents the number of balcony seats, which of the following augmented matrices would give the number of each type of seat there are?
Use Gaussian elimination or Gauss-Jordan elimination to solve the problem. A basketball fieldhouse seats 15,000. Courtside seats sell for $8, endzone seats for $7, and balcony for $5. Total for a sellout is $88,000. If half the courtside and balcony and all endzone seats are sold, tickets sales total $51,000. If the first colum represents the number of courtside seats, the second column represents the number of endzone seats, and the third column represents the number of balcony seats, which of the following augmented matrices would give the number of each type of seat there are?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 26EQ
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Use Gaussian elimination or Gauss-Jordan elimination to solve the problem.
A basketball fieldhouse seats 15,000. Courtside seats sell for $8, endzone seats for $7, and balcony for $5. Total for a sellout is $88,000. If half the courtside and balcony and all endzone seats are sold, tickets sales total $51,000. If the first colum represents the number of courtside seats, the second column represents the number of endzone seats, and the third column represents the number of balcony seats, which of the following augmented matrices would give the number of each type of seat there are?
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