**Unformatted text preview: **3. [20 points] (i) Prove that ܣ ் ܣ is symmetric and also that is positive semi-definite. (ii) Consider the matrix ܣ ൌ ൭ െ2 1 2 1 െ1 ൱ Compute by hand, a singular value decomposition of A. Compare with the results you obtain in MATLAB. 4. [30 points] Construct in MATLAB the following subroutines. Compare your code results with the ones you obtain by using built-in commands in MATLAB and report your findings. i) Inner product of any two vectors. ii) Any Matrix-Matrix multiplication. iii) Any Vector 2-norm computation....

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- Fall '10
- KONTSOS
- Linear Algebra, Matrices, Orthogonal matrix, Applied Engineering Analytical & Numerical Methods, similarity transformation B=XAX-1