Let L be a linear transformation mapping R2 into itself defined by L (αb1 + βb2) = (α + β)b1 + 2βb2 where {b1, b2} is the ordered basis. Find the matrix A representing L with respect to {b1, b2}.

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Q: Show that T is a linear transformation by finding a matrix that implements the mapping. Note that…

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Q: Show that T is a linear transformation by finding a matrix that implements the mapping. Note that…

A: See the detailed solution below.