Solved: Repeat Exercise 35, assuming u and v are

Chapter 5, Problem 36E

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Problem 36E

Repeat Exercise 35, assuming u and v are eigenvectors of A that correspond to eigenvalues –1 and 3, respectively.

Reference:

Let u and v be the vectors shown in the figure, and suppose u and v are eigenvectors of a 2 × 2 matrix A that correspond to eigenvalues 2 and 3, respectively. Let T: R2 R2be the linear transformation given by  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  

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