Let T: R^2 => R^2 be the linear transformation determined by a 2x2 matrix A. If S is a parallelogram in R^2, then area of T(S) = _______________________

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1. Let T: R^2 => R^2 be the linear transformation determined by a 2x2 matrix A. If S is a parallelogram in R^2, then area of T(S) = _______________________