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Linear AlgebraMediumLinear Transformations

Linear Transformations · Medium problem

T(x,y)=(ax+3y, 2x+by)T(x,y) = (ax+3y,\ 2x+by) is linear and satisfies T(1,1)=(5,7)T(1,1) = (5,7) and T(2,−1)=(1,−1)T(2,-1) = (1,-1). Find a+ba+b.