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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- Aug 29th 2009, 12:36 AMjuliakMatrix Algebra 3
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 - Aug 29th 2009, 01:17 AMred_dog

Replace :

- Aug 29th 2009, 02:30 AMjuliak
Why does M^3 = M^2 - 2M ?

- Aug 29th 2009, 02:44 AMHallsofIvy
You are told that . Adding M- 2I to both sides, . Now multiply both sides by M to get

- Aug 30th 2009, 12:27 AMjuliak
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? - Aug 30th 2009, 05:34 AMDefunkt