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Can you tell whether or not a is diagonalizable

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Reference no: EM131024928

Suppose that A is a square matrix, and that the only eigenvectors of A are scalar multiples of the vector:

Deduce as much information as you can about A, by answering the following questions. Give reasons for your answers.

(a) What size is A?

(b) How many eigenvalues does A have? Can you tell what the eigenvalues are?

(c) What can you tell about the algebraic and geometric multiplicities?

(d) Can you tell whether or not A is diagonalizable?

Reference no: EM131024928

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