Question: Problem 3 Let 1 2 A = 0 0 Let T : N(A) - R(A) be the linear transformation defined by Vr E N(A) ,

Problem 3 Let 1 2 A = 0 0 Let T : N(A) - R(A) be the linear transformation defined by Vr E N(A) , Tr := Ax. Find some bases for M(A)- and R(A) and the matrix representation of T using these bases. Problem 4 For A E Rmxn ", prove R(A+A) = R(AT A)

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