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Eigen Values

Eigen Values. 1. Andras Zakupszki 2. Nuttapon Pichetpongsa 3. Inderjeet Singh 4. Surat Wanamkang. Introduction. What is eigenvalues ? The problem Our Task Proposed Solutions. Introduction to the Eigenvalues. The eigenvectors of a square matrix are the non-zero vectors

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Eigen Values

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  1. Eigen Values 1. AndrasZakupszki 2. Nuttapon Pichetpongsa 3. Inderjeet Singh 4. SuratWanamkang

  2. Introduction • What is eigenvalues? • The problem • Our Task • Proposed Solutions

  3. Introduction to the Eigenvalues The eigenvectors of a square matrix are the non-zero vectors which, after being multiplied by the matrix, remain proportional to the original vector (i.e. change only in magnitude, not in direction) Mathematical expression:

  4. Eigen Values in Matlab eig Examples: d = eig(A) [V, D] = eig(A) Description: • d = eig(A) returns a vector of the eigenvalues of matrix A. • [V,D] = eig(A) produces matrices of eigenvalues (D) and eigenvectors (V) of matrix A, so that A*V = V*D. Matrix D is the canonical form of A — a diagonal matrix with A's eigenvalues on the main diagonal. Matrix V is the modal matrix — its columns are the eigenvectors of A.

  5. The Eigen Values Problem • Determine solution of equation Ax=λx • A=n-by-n matrix • x=length of vector • To solve λ and x. • More generalize eigenvalue problem • Ax= λBx

  6. The Task AndrasZakupszki (Project Manager, Researcher) Nuttapon Pichetpongsa (Programmer) Inderjeet Singh (Programmer) SuratWanamkang (Researcher)

  7. Proposed Solutions

  8. Conclusion

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