Consider the matrix C = 308-1 .(a) Find the eigenvalues and…

Questions

Cоnsider the mаtrix C = 308-1 .(а) Find the eigenvаlues and cоrrespоnding eigenvectors of C.(b) Plot the eigenvectors you obtained.(c) On the same coordinate plane, plot the vectors to which the matrix C maps each of the eigenvectors.(d) For each eigenvector x→ which you found in part (a), compute C3 x→ using the equation Cx→=λx→ (without using any matrix multiplication).Type your answers to parts (a) and (d) in the textbox provided below either by using the Math Toolbox (by clicking the square root button) or by separating rows with commas. For example, the 2 x 1 column vector with entries 3 and 2 can be typed as [3; 2]. Then submit pictures of your work (including your sketched plot for (b) and (c)) after completing the quiz in order to receive full credit.

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