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Math Help - Linear map

  1. #1
    Member kjchauhan's Avatar
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    Linear map

    Show that the linear map T:\wp_2 \to \wp_2 defined by T(\alpha_0+\alpha_1 x+\alpha_2x^2)=(\alpha_0+\alpha_1)+(\alpha_1+2\alp  ha_2)x+(\alpha_0+\alpha_1+3\alpha_2)x^2 is non-singular and find its inverse.

    Thanks in advance.
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  2. #2
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    Have you learned on coordinate-vectors?
    Choose the base: {x^2, x, 1} ... Find the coordinate-vector of the image of this map, find its determinant and continue from there...
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