Question: Let u and v be the vectors shown in the figure, and suppose u and v are eigenvectors of a 2 x 2 matrix A

Let u and v be the vectors shown in the figure, and suppose u and v are eigenvectors of a 2 x 2 matrix A that correspond to eigenvalues 2 and 3, respectively. Let T: R2 †’ R2 be the linear transformation given by T(x) = Ax for each x in R2, and let w = u + v. Make a copy of the figure, and on the same coordinate system, carefully plot the vectors T(u). T(v), and T(w).

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