Linear Algebra Example Problems – Finding “A” of a Linear Transformation #2

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A linear transformation can always be represented as a matrix operation on some vector x. In this example we’re told values for T(e1), T(e2), and T(e3) where ei are “coordinate vectors”. These vectors have a zero in every coordinate except a single one in their “ith” coordinate. Using this information we construct the standard matrix representation of the linear transformation T. We also use the linearity property of the transform to find T(x) for another vector x.

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