Quiz%232_Solution

# Quiz%232_Solution - 2 2 2 2 3 2 1 1 2 1 2 2 2 2 2 2 2 2 A Q...

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R.I.T DUBAI Mathematics for Engrs I Quiz # 2 (Solution) 1. Let and . a. Find dot product between the above two vectors. b. Perform GS orthogonalization process to find and . 2. Use QR factorization process to solve the following system Solution: 1. a) 3 1 1 1 2 , 2 1 V V b) 2 2 2 2 2 1 1 1 1 1 V V u 2 1 2 1 2 3 2 3 1 2 2 2 3 , 1 2 1 1 2 2 2 u V u u V V x 2 2 2 2 2 2 2 1 2 1 2 2 2 x x u

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2. 2 2 2 2 2 2 2 2 Q
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Unformatted text preview: 2 2 2 2 3 2 1 1 2 1 2 2 2 2 2 2 2 2 A Q R T b Ax b QRx b Q QRx Q T T b Q Rx T 7 11 2 2 2 2 2 2 2 2 2 2 2 2 3 2 2 1 x x 2 2 2 9 2 2 2 2 3 2 2 1 x x 2 2 2 2 2 x 4 2 2 4 2 x 2 9 2 2 3 2 2 1 x x 2 9 4 2 2 3 2 1 x 2 9 2 6 2 1 x 3 2 2 3 1 x...
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Quiz%232_Solution - 2 2 2 2 3 2 1 1 2 1 2 2 2 2 2 2 2 2 A Q...

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