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Let T: R^3 --> R^3 be the linear transformation defined by: T[x1, x2, x3] = [3x1 - 2x3, 4x1, x1 - x2 + x3]. Find a 3 x 3 matrix A such that T(x) = Ax.
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Is it just the matrix [3, 0, -2, 4, 0, 0, 1, -1, 1]?
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