Unformatted text preview: R, Y, that is, compute r (1) , y (1) . Compute r (2) , y (2) . 12. Let f : R 3 ! R 5 be a linear map. We are given that f ( u ) = (0 , 1 , 2 , 3 , 4) f ( v ) = (1 , 2 , 6 , 1 , 4) . What is f (2 u3 v )? 13. Which of the following are subspaces of the indicated space. Explain your answer. a: The set of of solutions in R 3 to the equation 3 xy + 2 z = 1 . b: The set of vectors in R 4 orthogonal to (1 , 2 , 3 ,4) . 14. The matrix M of size 4 ⇥ 6 has two free variables. How many leading ones does the RREF of M have? 15. Let A = ✓1 2 ◆ , B = ✓14 4 7 ◆ . Find a 2 ⇥ 2 matrix X so that AX = B. 3...
View
Full
Document
This note was uploaded on 11/22/2011 for the course MATH 235 taught by Professor Markman during the Fall '08 term at UMass (Amherst).
 Fall '08
 MARKMAN
 Linear Algebra, Algebra, Transformations

Click to edit the document details