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Quiz #1 of the Linear Algebra, Quizzes of Linear Algebra

Virginia Polytechnic Institute and State University (Virginia Tech)Linear Algebra
Prof. Sanjay Raman

First quiz of the week. 2023 in the linear algebra class

Typology: Quizzes

2023/2024

Uploaded on 02/17/2025

hunter-bambule
hunter-bambule 🇺🇸

3 documents

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MAT253 POW #1 20 points Name _________________________________
No Work = No Credit
1) ( 5 points) Solve the system using either Gaussian elimination with back-substitution or Gauss-
Jordan elimination.
3x -2y +3z = 22
3y – z = 24
6x – 7y = - 22
pf2

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MAT 253 POW #1 20 points Name _________________________________

No Work = No Credit

1 ) ( 5 points) Solve the system using either Gaussian elimination with back-substitution or Gauss- Jordan elimination. 3 x - 2y +3z = 22 3y – z = 24 6x – 7y = - 22

2 ) ( 10 points) Given the following system:

  • 14.7 x +2.1y = 1. 44.1x – 6.3y = - 3. Use a graphing utility to graph the system Use the graph to determine whether the system is consistent or inconsistent. If the system is consistent, approximate the solution. Solve the system algebraically. Compare the solution in part (d) with the approximation in part (c). What can you conclude?
  1. (5 points) Explain why the formula (A + B) (A + B) = A^2 + 2AB +B^2 is not valid for matrices. Illustrate your argument with examples.