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4. Consider the linear transformation T which transforms vectors ) by refection in the yaxis (a) Express the vector 코, = T(2), the result of the linear transformation T on a, in terms of the components r and y of i. (b) Find a matrix T such that T(F) = Ta, using matrix multiplication. (c) Calculate the matrix prouct T TT. What linear transformation does this represent? Explain geometrically (or logically) why it should be this. (d) Let A. (e:)beatrixprodritsTA ATand TAT ning the be a 2 x 2 matrix Calculate the hree matrix products TA, AT and TAT For each, give a simple short description, in words concerning the rows and columns of A (say), of the result of the calculation to produce a new matrix from A