(For those who have studied multivariable calculus.) Let T be an invertible linear
Chapter 6, Problem 46(choose chapter or problem)
(For those who have studied multivariable calculus.) Let T be an invertible linear transformation from R2 to IR2, represented by the matrix M. Let Q\ be the unit square in R2 and Q2 its image under T. Consider a continuous function / (jc, v) from R2 to R, and define the function g(u, v) = /(T(w, v)). What is the relationship betweenthe following two double integrals? JJ f(x,y)dA and JJ g(u, v )dAYour answer will involve the matrix M. Hint: What happens when /( j c , >) = L for all jc, y l
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