Find all the eigenvectors of given matrix

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Reference no: EM131013975

Consider the matrix in image bellow.

A. Find all the eigenvalues of A
B. Find all the eigenvectors of A corresponding to the eigenvalues found in part (a)
C. Show that the eigenvectors in part (b) form a basis of R³.
D. Write v = <5, 6, 0> as a linear combination of the eigenvectors from part (b)
E. Compute the product Av using standard matric multiplication. [use A from image and v from part (d)]
F. Compute Av using the eigenvalues and eigenvectors of A and part (d)

Reference no: EM131013975

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