EGN3420F97Test2 - nd order polynomial that best fits the...

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EGN 3420 Test #2 Fall 1997 4:30 - 5:45 PM Open notes, open book and can use a calculator. Write on test sheets. Use the back of the sheet if necessary. Show all work for partial credit and explain how you are going to solve the problem. NAME__________________________________ SS#_______________________________________ 1. For the matrix a. (10%) Find the characteristic equation, the eigenvalues and the eigenvectors. b. (10%) Find A cubed using the Hamilton-Cayley theorem. A 3 4 2 1
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2. (20%) Solve the following linear system using Gaussian-elimination. 2 X 2 . 2 X 3 . 2 X 1 2 X 2 . 3 X 3 . 0 3 X 1 . X 2 2
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3. (20%) Find the 2
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Unformatted text preview: nd order polynomial that best fits the data. Find the set of simultaneous equations that must be solved. Do not solve them just mention what steps you would take from that point to find the coefficients of the polynomial. x f(x) 0 -1 1 1 2 1 3 0 4. (20%) Given the following 3 points find a 2 nd order interpolating polynomial that passes through the points. x f(x) 0 2 1 6 2 12 5. (20%) Given the following function in tabular form, integrate the function from 0 to 8. Use Simpson's 1/3 and 3/8 rules. x f(x) 1 2 2 4 3 5 4 4 5 3 6 4 7 5 8 3...
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EGN3420F97Test2 - nd order polynomial that best fits the...

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