MATH 270 (Linear Algebra I)
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Midterm Evaluation Questions
(MATH 270)
Questions for the Written Report (Submit the written report in Microsoft Teams as
one PDF document)
1. Construct a system of three linear equations with three unknowns, which has a
unique solution. Solve this system using the Gaussian and Gauss-Jordan
Elimination methods. Do NOT use examples from the textbook, Study Guide or
any other resourse.
(10 points)
2. Construct an invertible non-triangular 3×3 matrix and find its inverse using the
following methods:
(a)
Row operations
(b)
Elementary matrices
Do NOT use examples from the textbook, Study Guide or any other resourse.
(10 points)
3. Construct a consumption matrix for an open productive economy consisting of
three sectors. Use the Leontief Input-Output Model to show that the economy is
productive.
Do NOT use examples and exercises from the textbook, Study Guide
or any other resourse.
(30 points)
Question for the Video Report
Present the solution for Question 3, record the video of your presentation in mp4
format and submit it in Microsoft Teams.
(50 points)