Project #56479 - Optimization

  1. 1. Determine whether the following systems of equations Ax=b have a solution, a unique solution, or no solution. Find the unique solution (if applicable), or the general solution (if applicable), or the least squares solution (if applicable).

    a) A=[1 2 3; 2 3 4; 3 4 5]; b=[1; 1; 1]

    b) A=[1 2 3; 2 3 4; 3 4 5]; b=[2; 3; 1]

    c) A=[1 2 3; 1 3 2; 2 3 1];  b=[2; 3; 1]

    2. Find the eigenvalues of A matrices above

    3. Find the singular values of the following matrix: A=[1 2 3 4; 2 3 4 1; 3 4 1 2];

    4. Find the 1-norm, 2-norm, inf-norm of A in Q3.

    5. Apply FONC, SONC, and SOSC to the open box problem to find a solution.

    6. Use FONC, SONC, and SOSC to fit a second order polynomial to the following data points: (1,5), (2,3), (3,1), (4,3), (5,5)

Subject Science
Due By (Pacific Time) 02/07/2015 12:00 am
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