4. (1) Let T: Mmn → Mnm be a transformation defined by T(A) = A^T. Is T linear? [3] (ii) Let T: R^2 → R^2 be a linear transformation defined by T(x,y) = (3x – y, -6x + 2y). [2] Does the vector (1,3) belong to R(T)?
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Step 1: To determine if the transformation T: Mmn → Mnm defined by T(A) = A^T is linear, we need to check if it satisfies the properties of linearity: Show more…
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