Linear Algebra, Math, Mathematics, Course, Education.
either first adding the scalars and then multiplying the result by the vector, or multiplying each scalar by the vector and then adding the results. Let’s consider a = 4, b = 2, and v = (1, 2). Then (a + b)v = (4 + 2)(1, 2) = 6(1, 2) = (6, 12). On the other hand, av + bv = 4(1, 2) + 2(1, 2) = (4,