7. 8. Show that T(x1, x2, x3) = (3x₁ − 6x3, x2 + x3, X1 X2 - 2x3) is a linear trans- formation by finding a matrix that implements the mapping. Note that x1, x2, and x3 are not vectors but are entries in vectors. Determine if the linear transformation from the previous problem is (a) onto (b) one-to-one

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