-9-3 6 For the following matrix 4A = (18 (a) Calculate the determinant of the matrix pl - A. This is the characteristic polynomial of A. In this question, the parameter is p. Usually, in lectures, the parameter is X. Note that you are asked for the polynomial, not for the equation. ab √a a π sin (a) b (b) List the eigenvalues in increasing order. These are the roots of the characteristic polynomial. Include any which are repeated. For example, if the characteristic polynomial is p2 + 2p+1 then the eigenvalues are -1,-1, if it is p² - 1 then they are -1,1

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