Transformation Matrix - Finding The Matrix of A Transformation

Finding The Matrix of A Transformation

If one has a linear transformation in functional form, it is easy to determine the transformation matrix A by simply transforming each of the vectors of the standard basis by T and then inserting the results into the columns of a matrix. In other words,

For example, the function is a linear transformation. Applying the above process (suppose that n = 2 in this case) reveals that

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