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# Matrix of T(x,y) = (4x - 2y, 2x + y) relative to the basis.

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Let T be a linear map on R^2 defined by T(x,y) = (4x - 2y, 2x + y).
Calculate the matrix of T relative to the basis {&#945;1, &#945;2} where &#945;1 = (1,1) , &#945;2 = (-1,0).

##### Solution Summary

This solution is comprised of a detailed explanation for finding the matrix of the linear map relative to a basis. It contains step-by-step explanation to find the matrix of T relative to the basis {&#945;1, &#945;2} where &#945;1 = (1,1) , &#945;2 = (-1,0), where T is a linear map on R^2 defined by T(x,y) = (4x - 2y, 2x + y).

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###### Education
• BSc, Manipur University
• MSc, Kanpur University
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