assig5_2011

# assig5_2011 - Math 152 Spring 2011 Assignment#5 Notes Each...

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Math 152, Spring 2011 Assignment #5 Notes: Each question is worth 5 marks. Due in class: Monday, February 7 for MWF sections; Tuesday, Febru- ary 8 for TTh sections. Solutions will be posted Tuesday, February 8 in the afternoon. No late assignments will be accepted. (1) (a) (1 mark) Find the equation form of the plane P with normal vector b = [1 , 0 , - 1] and passing through the point q = [0 , - 1 , 0]. (b) (1 mark) Find the equation form of the line L that is perpendicular to the plane Q with equation - x +3 y +2 z = 1 and passing through the origin. (c) (3 marks) Use Gaussian elimination to determine the intersection between the plane P and the the line L . (2) (a) (2 marks) Use Gaussian elimination to ﬁnd the set of solutions to the following homogeneous system. Present your answer in parametric form. x 1 - x 2 + x 4 = 0 x 1 + 4 x 2 - x 3 + x 4 = 0 2 x 1 - x 2 + x 3 + 3 x 4 = 0 3 x 1 + 3 x 2 + 4 x 4 = 0 . (b) (1 mark) Consider the following inhomogeneous linear system:

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assig5_2011 - Math 152 Spring 2011 Assignment#5 Notes Each...

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