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matrices question (FP1) watch

1. a linear transformation is defined by the matrix B:

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

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
2. Try transforming the points (1,m) and (2,2m).

Calculate the gradient of the two images.
3. 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.
4. True enough, but I fail to see how that helps Lamo answer her FP1 question.

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