This preview shows pages 1–4. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: R 3 ? Show your work and explain your answer. 113 , 5 6 8 , 1 1 h 5. (a) (6 points) Let A be a 7 4 matrix. What must a and b be in order to dene a linear transformation T : R a R b by T ( x ) = A x ? (b) (8 points) Let T : R 2 R 2 be a linear transformation for which T " 1 #! = " 2 3 # and T " 1 #! = " 52 # . Find T "1 3 #! . 6. Let A = " 3 2 1 1 # and B = "2 1 11 # . Compute or nd or answer the following. (a) (3 points) 3 A + 2 B (b) (3 points) A T B T (c) (3 points) AB (d) (5 points) The fourth column of AC , where C is a 2 9 matrix whose fourth column is " 1 1 # . (e) (6 points) Is there a 2 2 matrix D whose entries are not all zero for which AD = " 0 0 0 0 # ? Explain your answer....
View
Full
Document
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 at Austin.
 Fall '08
 PAVLOVIC

Click to edit the document details