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fm3_problems31

# fm3_problems31 - Exercise 1 Problem 1a 2 4 1 answer 3 12 2...

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Exercise 1 Page 1 Problem 1a 2 12 6 1 1 2 4 8 7 8 0 -23 1 0 -9 1 7 3 answer 3 13 8 12 8 -16 2 7 -6 Problem 1b 2 -9 3 1 1 5 0 2 3 2 6 -6 answer -12 -25 -16 ### 15 5 5 6 -12 -6 Problem 1c 2 0 6 1 1 2 4 8 7 8 0 -2 1 0 -9 1 7 3 answer 8 44 22 ### 75 53 13 -8 -62 -25

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Exercise 2 Page 2 Problem 2a 1 2 8 9 2 5 3 0 4 4 2 7 5 -2 1 6 Answer: Inverse of above matrix -0.0733 0.1827 -0.0864 0.2107 ### -0.0354 0.0321 0.1605 -0.1342 0.1078 0.1580 -0.2099 0.0831 0.0313 -0.1679 0.1605 -0.0675 Problem 2b 3 2 1 6 -1 3 7 4 3 Answer: Inverse of above matrix 1.8750 0.2500 -0.8750 ### -0.3750 -0.2500 0.3750 -3.8750 -0.2500 1.8750 Problem 2c 20 2 3 -3 2 10 2 -2 3 2 40 9 -3 -2 9 33 Answer: Inverse of above matrix 0.0524 -0.0084 -0.0048 0.0055 ### -0.0084 0.1044 -0.0062 0.0073 -0.0048 -0.0062 0.0275 -0.0083 0.0055 0.0073 -0.0083 0.0335
TRANSPOSING TWO MATRICES Matrix A 3 2 1 -15 4 1 6 -9 1 Transpose 3 -15 ### 2 4 1 1 Matrix B 1 2 3 4 5 -2 7 -9 0 0 3 -3 11 12 1 Transpose 1 -2 3 2 7 -3 3 -9 11 4 0 12 5 0 1

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x y z w constants 3 4 -6 9 15 2 -1 0 1 2 0 1 1 1 3 1 1 -1 0 1 Solution x 0.7321 ### y 0.9107 z 0.6429 w 1.4464 Check 15 ### 2 3 1
Exercise 5 Page 5 A Y 13 -8 -3 20 -8 10 -1 -5 -3 -1 11 0 Answer 3 ### 2 1 20 -5 ### 0 x 1 x 2 x 3 Check the answer by multiplying A * (x 1 ,x 2 ,x 3 ) =? Y

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Exercise 6 Page 6 HILBERT MATRICES Hilbert matrices through H8 1 2 3 4 5 6 7 8 1 1 0.5 0.33 0.25 0.2 0.17 0.14 0.13 #MACRO?
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