Let T R R be the function given by T((x1, 2, 3, 4)) = (2x15x3,3x2 +...

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Let T R¹ R³ be the function given by T((x1, 2, 3, 4)) = (2x15x3,3x2 + x3 - 2x4, 3x1 + 8x₂). Compute T((5, -3, 7, 2)). Show that I has both the additivity property and the homogeneity property. Determine [T], the matrix representation of the transformation. Let T R¹ R³ be the function given by T((x1, 2, 3, 4)) = (2x15x3,3x2 + x3 - 2x4, 3x1 + 8x₂). Compute T((5, -3, 7, 2)). Show that I has both the additivity property and the homogeneity property. Determine [T], the matrix representation of the transformation.