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Unformatted text preview: rt student w ould now t est AT r , w here r Ax b. 8 . A nsw er true or false . If false offer a simple counterexample.
a. If the problem Ax b has a solution x, then the problem HAx Hb has the same
solution x, for any matrix H (for w hich HA and Hb are defined.)
b. L et matrix A have columns A.,1 solution x, then b x1 A.,1 ... xn A.,n . A.,n and the problem Ax b has a 9 . P rove that if yT x 0, for all x, then y 0. 1 0 . P rove that if QT Q I , then if x is perpendicular to y, then Qx is perpendicular to Qy....
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This homework help was uploaded on 03/21/2014 for the course M 340L taught by Professor Pavlovic during the Spring '08 term at University of Texas.
 Spring '08
 PAVLOVIC
 Matrices

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