oldexam1

# oldexam1 - just leave them in the form E · F · G... )....

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Math 290 - Exam 1, September 21, 2006 Name: Directions: You must show all your work. Calculators are not permmitted. Please write legibly; if I can’t read it, I can’t grade it. There are two sheets of blank paper attached on which you can do your work. 1. Solve the system of equations 3 x + 2 y = 1 2 x + y + z = - 2 y + z = 3 by row reducing the appropriate augmented matrix. Underline the solution. 2. Let A = ± - 3 2 1 0 ² Express A - 1 as a product of elementary matrices (don’t multiply them together,
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Unformatted text preview: just leave them in the form E · F · G... ). • Express A as a product of elementary matrices. 3. Evaluate the determinant of the matrix B = 3 2 0 2 1 1 0 1 1 using elementary row operations. 4. Suppose that Gauss-Jordan reduction of the matrix A leads to the matrix 1 0 0 1 0 1 0 2 0 0 1 3 . What are the solutions, if any, to the equations A x = ?...
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## This note was uploaded on 05/23/2008 for the course MATH 290/291 taught by Professor Lerner during the Spring '08 term at Kansas.

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