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Solve th… Show more Computer exercise: In Matlab or Octave

Solve th… Show more Computer exercise: In Matlab or Octave Generate the matrix A using A = magic(6) Solve the equation X’= A X with the command [V,lambda]=eig(A) The eigenvalues will be returned in a diagonal matrix lambda, the associated eigenvectors in a matrix V The eigenvalue and associated eigenvector will be in the same column of lambda and Vrespectively Write down the solution Xc simplifying eigenvectors to integers when possible. For non-integer kiuse four decimal places. Solve for the constants given initial conditions X0. Form a column vector X0 in Matlab/Octave with X0=[-1 0 1 2 3 4]’ The solution for X can be expressed as X = VC where V is the matrix of eigenvectors and C is a column vector of the constants in the solution Xc = C1X1 + C2X2 + … + CnXn. The constants can be obtained for a set of initial conditions by the matrix operation V -1 VC = C = V -1 X0. C = V -1 X0 can be expressed in Matlab/Octave as C=VX0, where C is returned as a column vector. Write down the solution Xc for the initial conditions in X0. Submit (1) a copy of your commands and results in Matlab or Octave (you can select copy and paste to a printable file if necessary), (2) your handwritten general solution with undetermined constants and (3) your handwritten general solution with evaluated constants. • Show less

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