Consider the diagonal matrix A = (a) State the characteristic polynomial of A. [Note: Use L...

 

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Consider the diagonal matrix A = (a) State the characteristic polynomial of A. [Note: Use L in place of A.] [8 8] The characteristic polynomial CA(L) = i) Matrix A = (b) The trace of a matrix A is the sum of the entries in its main diagonal and is denoted by tr(A). If tr(A) = 11 and det(A) = 28, use this information and the result in part (a) to find: ii) The eigenvalues of A: where a < b are constants. [Note: If there is more than one answer, separate them by commas. E.g. 1,2] Consider the diagonal matrix A = (a) State the characteristic polynomial of A. [Note: Use L in place of A.] [8 8] The characteristic polynomial CA(L) = i) Matrix A = (b) The trace of a matrix A is the sum of the entries in its main diagonal and is denoted by tr(A). If tr(A) = 11 and det(A) = 28, use this information and the result in part (a) to find: ii) The eigenvalues of A: where a < b are constants. [Note: If there is more than one answer, separate them by commas. E.g. 1,2]

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