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Mathematics, 12.02.2021 08:40 jtingley0502

Determine if the T is a linear transformation. T(x1, x2, x3) = (−4x2, 9x3) The function is a linear transformation. The function is not a linear transformation. If so, identify the matrix A such that T(x) = Ax. (If the function is not a linear transformation, enter DNE into any cell.) A = If not, explain why not. The function is a linear transformation. The function is not a linear transformation, since there exist numbers a, b, c, d, e, and f such that T(a + d, b + e, c + f) ≠ T(a, b, c) + T(d, e, f). The function is not a linear transformation, since there exist numbers a, b, c, d, e, and f such that T(a + d, b + e, c + f) = T(a, b, c) + T(d, e, f). The function is not a linear transformation, since there exist numbers a, b, c, and d such that T(a(b, c, d)) ≠ aT(b, c, d). The function is not a linear transformation, since there exist numbers a, b, c, and d such that T(a(b, c, d)) = aT(b, c, d).

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