201-105-dw-fall2009 (1) - DAWSON COLLEGE Mathematics Department Final Examination 201-105 \u2013DW Linear Algebra December 17th 2009 1(6 marks Solve

201-105-dw-fall2009 (1) - DAWSON COLLEGE Mathematics...

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DAWSON COLLEGE Mathematics Department Final Examination 201-105 –DW Linear Algebra December 17 th , 2009 1.(6 marks) Solve the linear system by Gauss-Jordan method 2.(5 marks) For which values of k does the following system have exactly one solution, no solution, infinitely many solutions? 3.(6 marks) Use the inverse matrix to solve the system of linear equations 21. 4.(3 marks) Let the matrix Abe invertible matrix, such that 343AAI-=. Find 1A - . 5.(4 marks) Use the Cramer’s rule to solve the system 21-= -for “z” only. 6.(6 marks) Given the following matrices1235A=and 014102B-=-. Find, if possible a) (2TBA-b) 13AB-c) (det()3TtrA A7.(3 marks) Find the matrix X, if (29112235TXI-+=. 8.(3 marks) Evaluate the determinant 2032151041642340------9.(6 marks) Let BandAbe (44×matrices, such that ((3det,2det==BA. Find a) (1 I -

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