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Unformatted text preview: L in the form y = mx . b. Two of these matrices represent rotations in the coordinate plane. Explain which they are, and give their corresponding angles of rotation. c. Compute A 2 , B 2 , and C 2 . Give geometric interpretations of your answers. Problem 3. a. Consider the intersection of two lines: a 11 x + a 12 y = b 1 a 21 x + a 22 y = b 2 Give an example of two lines which do not intersect, i.e., an example of a linear system in two variables which is inconsistent. b. The projectivization of a system is dened as the homogeneous system a 11 x 1 + a 12 x 2b 1 x 3 = 0 a 21 x 1 + a 22 x 2b 2 x 3 = 0 Prove that two projective lines always intersect. In fact, show that the projectivization of a system has innitely many solutions. 1...
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This note was uploaded on 03/31/2012 for the course MA 351 taught by Professor ?? during the Spring '08 term at Purdue UniversityWest Lafayette.
 Spring '08
 ??
 Linear Algebra, Algebra

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