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Question: 8 consider the vector space of 2by2 matrices m2x2r over...

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8. Consider the vector space of 2-by-2 matrices M2x2(R) over R. For a given matrix Az (a1,1 a1.2).consider the map T: M2 x 2(R)→R given by T(A)=az.. (a) Show that T is a linear transformation (b) Find a basis for N(T). 2,1 2.2 [51 112 13] 15 c) Calculate the dimension of N(T). (d) Find a basis for R(T).
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