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Thread: Hard linear transformation question

  1. #1
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    Hard linear transformation question

    Hello,

    I'm having difficulty with this linear transformation puzzle, I'd be grateful if you could give it a go. I haven't quoted my textbook verbatim, so if there is any confusion please let me know and I'll restate it. Thanks

    Referring to the image below, the triangle t is undergoing a number of reflections


    A(t) = 1
    B(t) = 2
    C(t) = 3


    BC(t) = 4


    (i) Show that operations AB and BA are the same


    (ii) Describe the combined operation BC geometrically.


    (iii)Simplify C(CB), (CC)B and BC(CB)...using I to denote the identity operation.


    (iv) Obtain expressions, as combinations of A, B and C for operations which carry


    (a) t to x
    (b) t to y
    (c) x to t


    Hard linear transformation question-scan.jpg
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  2. #2
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    Re: Hard linear transformation question

    C(t)=3 means B(3)=4

    we also have B(t)=2

    A reflection cannot do that
    Thanks from topsquark
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  3. #3
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    Re: Hard linear transformation question

    Quote Originally Posted by Phavonic View Post
    Hello,

    I'm having difficulty with this linear transformation puzzle, I'd be grateful if you could give it a go. I haven't quoted my textbook verbatim, so if there is any confusion please let me know and I'll restate it. Thanks

    Referring to the image below, the triangle t is undergoing a number of reflections


    A(t) = 1
    B(t) = 2
    C(t) = 3


    BC(t) = 4


    (i) Show that operations AB and BA are the same


    (ii) Describe the combined operation BC geometrically.


    (iii)Simplify C(CB), (CC)B and BC(CB)...using I to denote the identity operation.


    (iv) Obtain expressions, as combinations of A, B and C for operations which carry


    (a) t to x
    (b) t to y
    (c) x to t


    Click image for larger version. 

Name:	Scan.jpg 
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ID:	39509
    OK, rewrite the question again shortly.....
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  4. #4
    Forum Admin topsquark's Avatar
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    Re: Hard linear transformation question

    Quote Originally Posted by Phavonic View Post
    OK, rewrite the question again shortly.....
    Here's a link to the new thread.

    -Dan
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