MATH204 FINAL EXAM WITH SOLUTIONS_DEC 2017.pdf - CONCORDIA...

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CONCORDIA UNIVERSITY Department of Mathematics & Statistics Course Number Section(s) Mathematics 204 All Examination Date Pages Final December 2017 2 Instructors Course Examiner Y. Bibilo7 R. Mearns, C. Santana E. Cohen Special Instructions D Only approved calculators are allowed. D Justify all your answers. D Answer all questions. All questions have equal value. 1. Solve the system by Gauss—Jordan elimination :r 2y + z 2.73 4y + 22 5x y + 2z 0 —1 —2 2. Find the inverse of the matrix A = 1 3 0 4 0 -6 1 0 1 2 and solve for X if AX = 2 1 1 3 1 2 4 5 1 0 2 3. Find the matrix of cofactors of A = 3 7 8 4 —1 4 and find the value Of (111021 + 012022 + (£13013. 4. (a) Find the determinant of A = ,_. 00 430304; m 1 —2 (b) Solve for :1: if 1 —1 1 = 7. —1 0 2 43M
DeCember 2017 Page 2 of 2 MATH 204 Final Exam 5. ( a) Find an equation of the plane containing the point P(2, 1, ~1) and the line =3t—2,y= —t+4,7z=2t+1. ( b) Find the point of intersection of the line w = 21. ~ 1, y = 3t - 2, z = t + 4 and the plane so 4 2y + 3z : —4.

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