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11 Nov 2019
linear algebra
Let T : R 2 rightarrow R2 be defined by T([x,,y] t) = [x,y(1 + x 2)] t Show that T is not a linear transformation by finding two specific points (reader's choice) X and Y such that T(X + Y) = T(X) + T(Y). On a graph, draw the lines x = n and y = m for n and m having the values 0, 1, 2. (There will be six lines.) On a separate graph, draw the image of these lines under T. The purpose here is to understand how T.
linear algebra
Let T : R 2 rightarrow R2 be defined by T([x,,y] t) = [x,y(1 + x 2)] t Show that T is not a linear transformation by finding two specific points (reader's choice) X and Y such that T(X + Y) = T(X) + T(Y). On a graph, draw the lines x = n and y = m for n and m having the values 0, 1, 2. (There will be six lines.) On a separate graph, draw the image of these lines under T. The purpose here is to understand how T.