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The november 29, 2006 math 1050 exam 3 for a college-level mathematics course. It includes various problems related to solving systems of linear equations using substitution, elimination, and matrix methods, as well as finding the determinant of a 2x2 matrix. Students are required to show all work for full credit.
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Math 1050 November 29, 2006 Exam 3 Name: 1
Exam 3 Prob. 1 2 3 4 5 6 7 EC Value 13 12 10 15 15 15 20 5 100+ Points
Show all work for credit. Answers with little or no supporting work will receive little or no credit. Your work should be neat; if I cannot read your work, it will not be graded.
2 x −y = 1 x +3y = 4
4 b c 19
3 x − 5 y +4z = 10 4 x +2y − 3 z = − 12 −x +z = − 2
3 2 z 1 7 − 5 1 y 1
1 x − 3 2
a b c d =^ ad^ −^ bc.
(a) Find
(b) Find an a so that
a 5
Bonus: The determinate for a 3 × 3 matrix is defined as
a b c d e f g h i
= a · e f h i − d · b c h i
Evaluate 1 2 3 4 5 6 7 8 9