Suppose that A is a 6 6 matrix with characteristic polynomial cA() = (1 + )
Question:
a. Prove that it is not possible to find three linearly independent vectors v1, v2, v3 in R6 such that Av1 = v1, Av2 = v2, and Av3 = v3.
b. If A is diagonalizable, what are the dimensions of the eigenspaces E-1, E1, and E2?
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a Suppose we have three vectors v 1 v 2 and v 3 with Av 1 v 1 Av 2 v 2 Av 3 ...View the full answer
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