(iii) Find real integers p, and r such that M+2Mº - 5M – 61 = (M+pl)(M+qI)(M+r1), where M is any square matrix and I is
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(iii) Find real integers p, and r such that M+2Mº - 5M – 61 = (M+pl)(M+qI)(M+r1), where M is any square matrix and I is
(iii) Find real integers p, and r such that M+2Mº - 5M – 61 = (M+pl)(M+qI)(M+r1), where M is any square matrix and I is the appropriate identity matrix. Hence, or otherwise, find all 2 x 2 matrices M which satisfy the matrix equation M+2M2 – 5M - 61 = 0. [8]
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