Let A € M3 be normal and suppose that 1, i, and 2 + 2i are its eigenvalues. (a) Use (13.6.1) to draw a region in the com

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Let A € M3 be normal and suppose that 1, i, and 2 + 2i are its eigenvalues. (a) Use (13.6.1) to draw a region in the com

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Let A M3 Be Normal And Suppose That 1 I And 2 2i Are Its Eigenvalues A Use 13 6 1 To Draw A Region In The Com 1
Let A M3 Be Normal And Suppose That 1 I And 2 2i Are Its Eigenvalues A Use 13 6 1 To Draw A Region In The Com 1 (54.26 KiB) Viewed 33 times
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Let A € M3 be normal and suppose that 1, i, and 2 + 2i are its eigenvalues. (a) Use (13.6.1) to draw a region in the complex plane that must contain the diagonal entries of A. (b) Could 2i be a diagonal entry of A? How about -1 or 1+ i? (c) Why must every main diagonal entry of A have nonnegative real part? (d) How large could the real part of a diagonal entry be?
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