(a) Find the eigenvalues and eigenvectors of the matrix B = 7 6 2 6 . Sketch...

Question:

(a) Find the eigenvalues and eigenvectors of the matrix B =

−7 6 2 −6

.

Sketch a phase portrait for the system ˙x = Bx and its corresponding canonical form.

(b) Carry out the same procedures as in part

(a) for the system

˙ x = −4x − 8y, ˙ y = −2y.

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