Fall 2011 Midterm1 Section 2 solutions

Fall 2011 Midterm1 Section 2 solutions - MATH1850 Midterm 1...

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MATH1850 Midterm 1 October, 2011 2 1. (3 marks each; total 12 marks) Solve each of the questions in the space provided. a) Solve the linear system associated with the given augmented matrix. 5 1 0 0 0 0 8 0 3 1 0 0 2 0 5 0 2 1 b) Let 7 1 0 2 3 5 1 0 2 4 1 1 A and 4 7 1 6 0 1 3 1 9 2 5 5 1 1 2 0 8 4 0 1 B . Find 31 ) ( T AB . c) Let A and B be 3x3 matrices such that 2 ) det( A and 4 ) det( B . Find the value of ) 2 det( 3 B A T .
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October, 2011 3 d) Suppose that two parameters x and y have a quadratic relationship of the form c bx ax y 2 and that the following pairs of ( x , y ) points satisfy this relationship: ) 17 , 2 ( , ) 7 , 5 ( , and ) 1 , 3 ( . Set up, in matrix form , the system of equations that you would need to solve to find the values of a , b , and c . Set up only; do not solve!
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This note was uploaded on 02/25/2012 for the course MATH 1850 taught by Professor Mihaibeligan during the Fall '09 term at UOIT.

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Fall 2011 Midterm1 Section 2 solutions - MATH1850 Midterm 1...

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