Unformatted text preview: { 1 , x, x 2 , x 3 , x 4 , x 5 , x 6 , x 7 } of V , none of whose elements are in W . 2. Find a basis for the null space of the following matrix. ± 2 3 2 2 4 3 3 4 ² The matrix row reduces as follows: ± 2 3 2 231 ² ± 2 1 231 ² ± 2 1 2 3 1 ² Therefore the null space consists of vector of the form (a 2b,a 3 , a, b ) , so a basis of the null space is given by ³(1 2 ,1 3 , 1 , ) , (1 , , , 1) ´ . 1...
View
Full
Document
This note was uploaded on 02/20/2010 for the course AS a taught by Professor 11 during the Spring '10 term at École Normale Supérieure.
 Spring '10
 11

Click to edit the document details