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Unformatted text preview: 111 14 28 1 31 4. Find the value(s) of h for which the following vectors are linearly dependent. Justify and explain your answer. 113 , 5 6 8 , 1 1 h 5. Suppose the vectors v 1 , v 2 ,..., v p are in R n and are linearly dependent . Suppose that T is a linear transformation from R n to R n . Show that the vectors T ( v 1 ) ,T ( v 2 ) ,...,T ( v p ) are also linearly dependent. 6. Let A = " 2 53 1 # and B = " 45 3 k # . Compute AB . 7. Suppose AB = AC , where B and C are n × p matrices and A is invertible. Show that B = C . Is this true in general when A is not invertible? Justify your answer....
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This note was uploaded on 10/27/2008 for the course M 340L taught by Professor Pavlovic during the Fall '08 term at University of Texas.
 Fall '08
 PAVLOVIC

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