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The linear mapping T: R^2 -> R^3 defined by T(x, y) = (x + y, 2x - y, y) has a m...

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The linear mapping T: R^2 -> R^3 defined by T(x, y) = (x + y, 2x - y, y) has a matrix representation (with respect to the standard bases) given by:

[[1, 1, 0], [2, -1, 1]]

[[1, 2, 0], [1, -1, 1]]

[[1, 1], [2, -1], [0, 1]]

[[1, 2], [1, -1], [0, 1]].

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