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    There was a proof by induction question - it had the matrix 1 2
    0 1

    First question: find m^2 and m^3 (4)
    Second question: assume a pattern for m^n (1)
    Third question: prove by induction that your assumption is correct in ii) (4)
    4th question: there is a transformation using the matrix 1 m^10
    1 0
    write out fully what this transformation is

    Ok basically - i found m^2 but m^3 incorrectly and thus i made a wrong assumption in the second part and proved the wrong thing by induction and of course got the transformation wrong....
    would i drop every single mark on this question?

    No, you should still get one or two if you got m^2 correct. I think you will also get some of the marks for the proof by induction and transformation if you applied them correctly to your incorrect m^3 matrix.

    You should get 1 or 2 for m^2.
    None for your assumption.
    Perhaps 2 for a correct method or proof by induction.
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Updated: January 20, 2010

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