oct1409 - a (Hint : compute the square of the length Frst !...

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Math 1502 D, October 14, 2009 1 Georgia Tech School of Mathematics Math 1502 Calculus II, Section D Quiz # 7 October 14, 2009 First Name : --------------------------------------------- Last Name : ------------------------------------------------- 1. Let A = 0 0 0 0 1 2 1 0 1 3 0 1 0 0 0 0 . Let B be another 4 × 4 matrix. Which columns of B can be changed without changing the product BA . Columns =

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Math 1502 D, October 14, 2009 2 2. Let u = b 4 / 5 3 / 5 B and let x = b 2 1 B . Compute the vectors x b and x x b = x = 3. Let v be the vector in R n with components (1 ,a,a 2 , ··· ,a n 1 ). Com- pute its length as a function of
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Unformatted text preview: a (Hint : compute the square of the length Frst ! Then use the geometric sum) | v | = Math 1502 D, October 14, 2009 3 4. Let A be a p × m matrix and let B be a m × n matrix. Is it true that, if the columns of B are all the same, then the columns of AB are all the same ? Explain your reply. TRUE a FALSE a 5. Let A = √ 3 / 3 √ 6 / 3 √ 2 / 2 √ 3 / 3 − √ 6 / 6 − √ 2 / 2 √ 3 / 3 − √ 6 / 6 . Is it an isometry ? Why ? YES a NO a...
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This note was uploaded on 11/30/2009 for the course MATH 1502 taught by Professor Mcclain during the Fall '07 term at Georgia Tech.

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oct1409 - a (Hint : compute the square of the length Frst !...

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