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Assignment #8

# Assignment #8 - Stephanie Campbell due at 11:59pm EST...

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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 = 0 0 0 , 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 { 0 0 , - 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? A. 7 1 4 , 1 -8 5 B. -3 -4 -8 , -2 7 0 , 5 6 9 C. 0 0 , 3 2 D.

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