The vectors v1 1 3 v2 3 11 v3 0 2 span R2 but do not form
The vectors v_1 = [1 -3], v_2 = [3 -11], v_3 = [0 -2] span R^2 but do not form a basis. Find two different ways to express [-6 24] as a linear combination of v_1, v_2, v_3. Write [-6 24] as a linear combination of v_1, v_2, v_3 when the coefficient of v_3 is 0. [-6 24] = (3)v_1 + (-3)v_2 Write [-6 24] as a linear combination of v_1, v_2, v_3 when the coefficient of v_3 is 1. [-6 24] = (-6)v_1 + (4)v_2 + v_3
Solution
you are typing wrong
It should be 6 in 1st blank and -4 in other
![The vectors v_1 = [1 -3], v_2 = [3 -11], v_3 = [0 -2] span R^2 but do not form a basis. Find two different ways to express [-6 24] as a linear combination of v The vectors v_1 = [1 -3], v_2 = [3 -11], v_3 = [0 -2] span R^2 but do not form a basis. Find two different ways to express [-6 24] as a linear combination of v](/WebImages/40/the-vectors-v1-1-3-v2-3-11-v3-0-2-span-r2-but-do-not-form-1122407-1761597615-0.webp)