Let B={b₁,b₂), and C={C₁,C₂} be Bases for a vector space V, andsuppose b₁ = 4c₁-6c₂, and b₂ = -8c₁+30₂. Given x = 6b₁-4b₂, find [x]c Enter your answer in the form (a,b) with no spaces

Consider two bases B = {b1,b2} andC : such that bị = cq – 4c2 and b2 = 6c1 – 5c2. Find the change-of- coordinates matrix from B to C. {C1, c2} for a vector space V, %3D %3D 6. 4 -5 1 6 4 5 1-4 6. -5 1 -4 -5

Let B= (b,.b2} and C = (c1,c2} be bases for a vector space V, and suppose b, = 3c, - 7c2 and b2 = 5c, - 6c2. a. Find the change-of-coordinates matrix from B to C. b. Find [x]c for x= 4b, - 5b2. Use part (a). а. Р C-B b. [x]c (Simplify your answer.)

Let u = (1,3, 5) and v = (-4,3, –7) be vectors in R3. (a) Find u + v. (b) Express u in terms of the standard basis vectors in R3. (c) Find -3u.