Consider the linear transformation T which transforms vectors xC) in the y-axis. a) Express the vector X = T(x), the result of thelinear transformation T on x in terms of the components x and y ofX. by reflection [10 Marks] b) Find a matrix T such that T(x) = TX,using matrix multiplication. Calculate the matrix product T2represent? Explain geometrically (or logically) why it should bethis. c) T T . What linear transformation does this a b d) Let A bea 2 x 2 matrix. Calculate the three matrix products TA, AT and TAT.For each, give a simple short description, in words concerning therows and columns of A (say), of the result of the calculation toproduce a new matrix from A.
