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Math Help - linear transformation to matrix

  1. #1
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    linear transformation to matrix

    1. Let T:R2 -> R2 be the linear transformation which stretches vectors by a factor of 2 along the x-axis and reflects vectors across the x-axis. Find the matrix associated with this transformation.

    2. Let T:R2 -> R2 be the linear transformation which reflects vectors through the xy-plane. Find the matrix A associated with this transformation.

    Just to be clear, I don't want an answer, but can you show me some basic steps on how to start for both problems? Thanks so much.
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    Quote Originally Posted by Taurus3 View Post
    1. Let T:R2 -> R2 be the linear transformation which stretches vectors by a factor of 2 along the x-axis and reflects vectors across the x-axis. Find the matrix associated with this transformation.

    T(1,0)=(2,0),\;T(0,1)=(0,-1)


    2. Let T:R2 -> R2 be the linear transformation which reflects vectors through the xy-plane. Find the matrix A associated with this transformation.

    Did you mean T:\mathbb{R}^3\rightarrow \mathbb{R}^3 ?


    Fernando Revilla
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  3. #3
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    why yes! Thank you.
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