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6 Nov 2019
4. [20 points] Given the matrix: B-3 2 1 (a) Carefully examine the rows of the matrix to identify two eigenvalues; explain your reasoning. (Note that you do not have to use the characteristic equation here.) (b) Compute the determinant, det(B), and the trace, tr(B). (c) Use your results from parts (a) and (b) to determine the complete spectrum of B. (d) Determine the eigenvector(s) for the smallest eigenvalue of B. (e) Is the matrix B diagonalizable? Why or why not? Show transcribed image text
4. [20 points] Given the matrix: B-3 2 1 (a) Carefully examine the rows of the matrix to identify two eigenvalues; explain your reasoning. (Note that you do not have to use the characteristic equation here.) (b) Compute the determinant, det(B), and the trace, tr(B). (c) Use your results from parts (a) and (b) to determine the complete spectrum of B. (d) Determine the eigenvector(s) for the smallest eigenvalue of B. (e) Is the matrix B diagonalizable? Why or why not?
Show transcribed image text Irving HeathcoteLv2
27 Jun 2019