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midterm1

# midterm1 - Exam 1 Linear Algebra Dave Bayer October 7 1999...

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Exam 1 Linear Algebra, Dave Bayer, October 7, 1999 Name: ID: School: [ 1 ] (6 pts) [ 2 ] (6 pts) [ 3 ] (6 pts) [ 4 ] (6 pts) [ 5 ] (6 pts) TOTAL Please work only one problem per page, starting with the pages provided, and number all continuations clearly. Only work which can be found in this way will be graded. Please do not use calculators or decimal notation. [1] Solve the following system of equations: 0 1 1 1 0 1 1 1 0 x y z = 2 0 0 Page 1 Continued on page:

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Problem: Page 2 Continued on page:
[2] Compute matrices giving the number of walks of lengths 1, 2, and 3 between pairs of vertices of the following graph: Page 3 Continued on page:

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Problem: Page 4 Continued on page:
[3] Express the following matrix as a product of elementary matrices:

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midterm1 - Exam 1 Linear Algebra Dave Bayer October 7 1999...

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