# , no / 4 Let e be the line with para1netric...

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CONCORDIA UNIVERSITY Department of Mathematics & Statistics Course Number Section(s) 204 Date December 2013 All Pages 2 Mathematics Examination Final Special Instructions C> C> t> Only approved calculators are allowed. Justify all your answers. All questions have equal value. 1. Use the Gauss-Jordan method to find all the solutions of the system: _ 2x1 - 3x2 + 10x3 = -2 X1 - 2x2 + 3x 3 - -2 -X1 + 3x2 + X3 = 4 1 -2 1 2. Let M = -3 7 -6 and B = 2 -3 0 (a) Calculate M- 1 . 1 2 · -3 4 5 6 (b) Find the matrix C such that MC = B. 3. ( a) Use Cramer's rule to solve the system of equations: X3 - 5 = -2 - 2xa - -1 -2 1 4 -1 (b) Find the determinant of the matrix 1 0 -1 2 .. -1 2 1 :J 0 0 3 -1 r ) b . I . .
MATH 204 Final Examination December 2013 Page 2 of 2 , no / 4. Let e be the line with para1netric equations s n.(JG• \ X=-2+t, y=-l+3t 1 z= 1+5t, and = (1, 1, 1). Find w 1 and w 2 so that v = w 1 + w 2 and w 1 is parallel to / 7yv\ \ let v
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