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    a linear transformation is defined by the matrix B: \begin{pmatrix} 1 & 1 \\0 & 2 \end{pmatrix}

    Prove that the line with equation y = mx is mapped onto another line through the origin O under this transformation

    aaand, find the gradient of this second line in terms of m.

    I'm not really sure how to go about this, i tried transforming \begin{pmatrix} y/m \\mx \end{pmatrix}

    by matrix B, but that didn't really help me. And i don't think it's the right thing to to anyway.

    Any pointers would be very useful.
    Thanks
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    Try transforming the points (1,m) and (2,2m).

    Calculate the gradient of the two images.
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    You can show that the determinant is nonzero (and so the line doesn't collapse to a point), and that the origin maps to the origin.
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    True enough, but I fail to see how that helps Lamo answer her FP1 question.
 
 
 
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