tut3 - Determine if B is linearly independent or dependent...

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Math 136 Tutorial 3 Problems 1: Consider S = 1 2 4 , - 1 1 - 1 , 0 1 1 . Determine which of the following are in the span of S . Write each vector in the span as a linear combination of the vectors in S . a) a = 2 - 7 - 5 . b) b = - 1 19 17 . c) Is span S = R 3 ? Is S linearly independent? 2: Let B = 3 1 - 1 , - 1 2 2 , 2 3 2
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Unformatted text preview: . Determine if B is linearly independent or dependent. 3: Find the rank of the coefficient and augmented matrix for the system below and find the general solution. z 1 + iz 2 + (1 + i ) z 3 = 1-i-2 z 1 + (1-2 i ) z 2-2 z 3 = 2 i 2 iz 1-2 z 2-(2 + 3 i ) z 3 =-1 + 3 i 1...
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