Question

Show that the transformation t defined by: t(x1, x2) = (3x1 - 2x2, x1 + 4, 6x2) is not linear?

Answer 1

To show that the transformation t is not linear, we need to find a counterexample to one of the properties of linearity: additivity or homogeneity.

Step-by-step explanation:

To show that the transformation t is not linear, we need to find a counterexample to one of the properties of linearity: additivity or homogeneity.

Additivity: We need to show that t(u + v) is not equal to t(u) + t(v) for some vectors u and v.

Homogeneity: We need to show that t(ku) is not equal to k * t(u) for some scalar k and vector u.