SOLVED: Consider the linear transformation T : R3 R?T(T,y, 2) = (2x y 2, x 2).Construct the standard matrix of T (that is the matrix that represents T in the standard bases of R3 and R2). b) Find a basis of the null space of T and determine the dimension of this space Find a basis of the range of T and determine the dimension of the range of T. Is T Onto? Is it One-to-One? Give the statement of the Rank-Nullity theorem and verify its validity for the standard matrix of T .
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