Question: Show that T is a linear transformation by finding a matrix that implements the mapping. Note that x 1 , x 2 , ...are not

Show that T is a linear transformation by finding a matrix that implements the mapping. Note that x₁, x₂, ...are not vectors but are entries in vectors.

T (x_1, x_2, x₃) = (x₁ - 5x₂ + 4x₃, x₂ - 6x₃)

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