math_105dw_exam_2006-1 (1).pdf - Dawson College Mathematics Department Final Examination Linear Algebra 201-105-DW Winter 2006 Marks 9 1 6 2 7 3 � 3

math_105dw_exam_2006-1 (1).pdf - Dawson College Mathematics...

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Dawson College - Mathematics Department Final Examination - Linear Algebra 201-105-DW - Winter 2006 Marks 9% 1. Let ABC. Compute each of the following, if possible: (a) 3TAC(b) AB (c) 6% 2. Compute the determinant: 3 1 1 1 2 3 0 0 1 , , 1 1 0 0 1 2 0 = = = BA 3. (a) Find 1A. (b)Using the result in part (a) solve the system: if 4. Solve by the Gauss-Jordan elimination method: 5. Let A and B be 33×matrices such that det2A=and 3 B = − . Find (a) ( ) 1 det 2 A (b) ( ) 1 det T A BA (c) ( ) 3 det A (d) ( ) 1 det 3 B