how to find linear transformation

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10. Find the linear transformation for given T(1,1,1)=(1,2) , T(1,2,1)=(3,4) and T(0,0,1)=(1,5)

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Given a linear transformation, find the matrix of the linear transformation

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Proving a Function is a Linear Transformation F(x,y) = (2x + y, x - y)

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Given a linear transformation, find an image and a preimage

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Given a linear transformation, find the kernel and range

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Range of a linear transformation