Let T: R^2 rightarrow R^3 defined by T[x_1 x_2] = [2x_1+x_2 x_1-x_2 x_1]. Given c = -2, u = [-2 3], and v = [-3 4] Verify: Is T(u +v) = T(u) + T(v)? Is CT(u) = T(cv)?
Show transcribed image textLet T: R^2 rightarrow R^3 defined by T[x_1 x_2] = [2x_1+x_2 x_1-x_2 x_1]. Given c = -2, u = [-2 3], and v = [-3 4] Verify: Is T(u +v) = T(u) + T(v)? Is CT(u) = T(cv)?