Assignment #8

Assignment #8 - Stephanie Campbell Assignment 8 MATH133,...

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Unformatted text preview: Stephanie Campbell Assignment 8 MATH133, Fall 2009 due 12/05/2010 at 11:59pm EST. You may attempt any problem an unlimited number of times. 1. (1 pt) In each of the following problems, decide whether u is in the span of v and w or not. ? 1. u = 5 3 , v =- 9- 1 , w = 8- 3 ? 2. u = , v = 2- 2 7 , w = 6- 6- 1 ? 3. u = - 6- 6- 19 , v = - 3- 6- 7 , w = - 4 2- 7 2. (1 pt) In each of the following problems, write the first vector as a linear combination of the remaining vectors. If this is impossible, set all coefficients to NA. If there is more than one solution, enter one of them. 1. 3- 7 = 3- 7 +- 9- 1 2.- 11 15 =- 4 3 +- 1 3 3.- 1 1 = 18- 10 + 9- 5 3. (1 pt) Check the following statements for validity: ? 1. R 3 = span { - 4- 6 4 , 4 3 2 , 4- 1 10 , - 4- 2- 4 } ? 2. R 3 = span { 1 2- 9 , - 3 5- 9 } ? 3. R 2 = span { ,- 2 2 ,- 7 9 } ? 4. R 2 = span { 6 9 ,- 2- 8 } ? 5. R 3 = span { - 6 9- 5 , 6- 1- 2 , 7- 3- 9 } 4. (1 pt) Which of the following sets of vectors are linearly independent?...
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This note was uploaded on 12/01/2010 for the course MATH 133 taught by Professor Klemes during the Fall '08 term at McGill.

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Assignment #8 - Stephanie Campbell Assignment 8 MATH133,...

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