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Let S: R3 to R3 be a linear function such that S[1 1 1] = [1 2 3], S[1 1 0] = [1 1 2]

Let S: R3 to R3 be a linear function such that S[1 1 1] = [1 2 3], S[1 1 0] = [1 1 2] and S[1 0 0] = [1 0 1].

Find the matrix M such that for all x in R3, Mx = S(x).

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