Let A be a 5 x 5 matrix with exactly the eigen,aluc; 4. 5.

Chapter , Problem 55

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Let A be a 5 x 5 matrix with exactly the eigen,aluc; 4. 5. and 8. and corresponding eigenspaces IV1 W2 and IV,. For e:tch of the gi\'en parts. either write the characteristic polynomial of A. or state why there is in ~ufficte nt infonnation to detennine the characteristic polynomial. (a) dim IV1 = 2 and

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