solutions_502_06

solutions_502_06 - <0('L’ SAC MATH 323-502 QUIZ 6...

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Unformatted text preview: <0(»\'L’ SAC MATH 323-502, QUIZ 6. Fall 2010 NAME __.____._._ ROW _____ _____.__ Show all steps for credit. Q1. (4 pts.) Find bases for the row and column spaces of the matrix 1 1 1 - A: 123 . 234 40 k {310 ecng fiéfl’v it" 021-6, ( x 1 (L3 2 \a 0 | 22“ Z 6 ( L 3%“) Igg/KL ( l \ "‘7 o 1?— 000 Q2. (3 pts.) For the bases in R2, find the transition matrix from C to B. , s< _ l‘_ MEG/(t 2) Mgc’(2 3} Q3. (3 pts) Let A and B be H X n matrices with B invertible; and let C = BA. Prove that a vector :1: E R" satisfies Ax = 0 if and only if 0:1: 2 0, and proVe that A and C have the same rank. (g Akso Ufa. R'Akso no (x30 lg CYHb (“47*— AX: €~(CYT/KV10='0‘ 4W. NM) _; Na») 0O get mamhcw} 00”“ 7”“ £4»: —, Eda. ...
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This note was uploaded on 04/03/2012 for the course MATH 323 taught by Professor Boas during the Fall '08 term at Texas A&M.

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solutions_502_06 - <0('L’ SAC MATH 323-502 QUIZ 6...

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