assign1_practice_soln

# assign1_practice_soln - Math 136 Practice Problems # 1 1....

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Practice Problems # 1 1. Compute each of the following. a) 2 - 3 5 - 1 - 3 - 2 Solution: 2 - 3 5 - 1 - 3 - 2 = 1 0 7 b) - 2 1 2 3 - 2 3 0 - 1 Solution: - 2 1 2 3 - 2 3 0 - 1 = - 8 - 4 - 4 2. Describe geometrically the span of the set and give a simpliﬁed vector equation which describes it. a) B 1 = 2 1 0 , 0 0 0 . Solution: The span of the set is ~x = s 2 1 0 + t 0 0 0 = s 2 1 0 . Hence, the span of the set is the line in R 3 with vector equation ~x = s 2 1 0 , s R . b) B 2 = 1 1 1 , - 2 - 2 - 2 , 3 3 3 Solution: The span of the set is ~x = t 1 1 1 1 + t 2 - 2 - 2 - 2 + t 3 3 3 3 = ( t 1 - 2 t 2 + 3 t 3 ) 1 1 1 Hence, the span of the set is the line in

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## This note was uploaded on 07/13/2011 for the course MATH 136 taught by Professor All during the Winter '08 term at Waterloo.

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assign1_practice_soln - Math 136 Practice Problems # 1 1....

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