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1. 2. The matrix A is given by 7 The diagonal terms are 8, 7 and 5. The non-diagonal terms are unknown Two of the eigenvalues
2. Using Newtons method find the value of x that minimizes the function X -sin x is in radians. Start with x 0.5
4. Use the golden section rule to find the value of that minimizes the function f(x) x-14x+607-70x in the range [02). Locate
1. 2. The matrix A is given by 1 The diagonal terms are 8, 7 and 5. The non-diagonal terms are unknown Two of the eigenvalues
3. Derive the method of Newton to find the minimum of a function f(x). This derivation was done in class.
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Answer #1

. 12 The given matrixe is, 1 A = - 7 - 1 - - 5 1 The diagonal elements are 8,7,5 ... Trace of the matrix = (8+7+5) = 20. Two

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