The question is: Given that dim(m) = 2x2 and M^2 - M + 2I =0, show that M^4 + 3M^2 + 4I =0 It doesn't say what M is, though
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Why does M^3 = M^2 - 2M ?
You are told that . Adding M- 2I to both sides, . Now multiply both sides by M to get
Thank you! But I don't understand the rest of the working either? Why is (M^2 - M + 2I)^2 =0? And could you explain the rest of it too ,please?
Originally Posted by juliak Thank you! But I don't understand the rest of the working either? Why is (M^2 - M + 2I)^2 =0? And could you explain the rest of it too ,please? If then The rest is simply technical.
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