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Math Help - What does this question mean?

  1. #1
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    What does this question mean?

    Given that the linear transformation \left(\begin{array}{cc} x' \\ y' \end{array} \right) = \left(\begin{array}{cc} 3 & 2 \\ 1 & 4\end{array} \right)\left(\begin{array}{cc} x \\ y \end{array} \right) moves point (x,y) to point (x',y'), determine m such that a point on the line y=mx moves to the line y=mx

    I don't get this sentence.

    Determine m such that a point on the line y=mx moves to the line y=mx
    move to the same line???
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  2. #2
    MHF Contributor Bruno J.'s Avatar
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    Yes, stays on the line.
    This is equivalent to saying that the vector with "slope" m is an eigenvector...
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  3. #3
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    Oh

    So it is saying find the slope, m, where after this transformation, both points will be in the line y=mx.

    Is my understanding correct?
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  4. #4
    MHF Contributor Bruno J.'s Avatar
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    Yes it is!
    Give it a try and report back if you still have problems.
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