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Unformatted text preview: r and s is the corresponding transformation T invertible? (b) For which values of r and s will the matrix have rank 2? (c) For which values of r and s will the matrix have rank 1? 4. (12 points) True or False? Briefy explain your answers. (a) There exists a 7 4 matrix A o rank 4 so that A 1 2 3 4 = . (b) There is a system o 3 linear equations in 5 variables with exactly one solution. (c) Let L be any line through the origin in R 2 . I P is the matrix o projection onto L and R is the matrix o refection across L then PR = RP . (d) Suppose that A is a 2 3 matrix, B is a 3 2 matrix and AB = I 2 . Then BA is a 3 3 invertible matrix....
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This note was uploaded on 04/28/2008 for the course MAT 202 taught by Professor Staff during the Spring '08 term at Princeton.
 Spring '08
 Staff
 Math, Linear Algebra, Algebra

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