Linear Algebra - Linear Transformation Determine whether or not the following transformation T : V → W is a linear transformation. If T is not a linear transformation, provide a counter example. If it is, then: (i) find the nullspace N(T) and nullity of T, (ii) find the range R(T) and rank of T , (iii) determine if T is one-to-one, (iv) determine if T is onto. T : Mn×n(R) → R defined by T(A) = det(A).

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