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11 Nov 2019
the the following matrix: following -1 1 (a) Determine the characteristic polynomial xA of A. Show all your work! (Key: The characteristic polynomial is xA 2A A.) (b) Determine the eigenvalues for A (c) Compute the eigenspace for the eigenvalue that has multiplicity 2 in XA What is the dimension of this eigenspace? (d) What is the only possible dimension of the eigenspace with eigenvalue A 0? Answer this question with the help of xA and justify your answer.
the the following matrix: following -1 1 (a) Determine the characteristic polynomial xA of A. Show all your work! (Key: The characteristic polynomial is xA 2A A.) (b) Determine the eigenvalues for A (c) Compute the eigenspace for the eigenvalue that has multiplicity 2 in XA What is the dimension of this eigenspace? (d) What is the only possible dimension of the eigenspace with eigenvalue A 0? Answer this question with the help of xA and justify your answer.
Lelia LubowitzLv2
23 Oct 2019