Consider the linear transformation T which transforms vectors x C) in the y-axis. a) Express the...

Consider the linear transformation T which transforms vectors x C) in the y-axis. a) Express the vector X = T(x), the result of the linear transformation T on x in terms of the components x and y of X. by reflection [10 Marks] b) Find a matrix T such that T(x) = TX, using matrix multiplication. Calculate the matrix product T2 represent? Explain geometrically (or logically) why it should be this. c) T T . What linear transformation does this a b d) Let A be a 2 x 2 matrix. Calculate the three 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.

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Colby Messinger answered 1 year ago

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