Express the vector v =-1 as a linear combination of the vectors -3 0,v2 4 and v3 -4 , if possible. Show all of the steps that you used V1 -2 11 in obtaining your solution. 3.

Q: Uj = U2 = 3 U3 = 3 -2 re the vectors 1, U2 and 03 linearly independent? choose the vectors are…

A:

Q: Let A = [a₁ a2 a3 a4], and suppose that x = (4, -7, 9, 1) is in null(A). Write a4 as a linear…

A:

Q: Consider the two vectors A = 5 1 - 3 1 and B = -1-2j. (a) Calculate A + B 51 1+5 (b) Calculate A - B…

A:

Q: et V₁ = (1, -2,-2), V₂ = (0, -1, -2), V3 = (2, -4,-5). re the vectors 1, 2 and 3 linearly…

A:

Q: Express the following system of linear equations as a vector equation. x₁+ x2+ J 5x1 + 1x2 -7x1 +…

A: Solution :

Q: 6. Write DÉ as a linear combination of the vectors i and j a) D (9,-6) E (-7, 2) first write in…

A:

Q: a. Write the vector (23,-12, -19) as a linear combination of a₁ = (3, -2, -1), a2 (2, -3, -1) and ã3…

A:

Q: 35. For m = (-5, -6) and = (6, −9) find the sum of the vector three times the magnitude of m and the…

A:

Q: If possible, find a linear combination of the form w = a₁v₁ + a₂V₂ + a3V3 where v₁ = (2, -1, 4), V₂…

A:

Q: - X3 + 5x4 = 0 X2 + 4x3 – 3x4 = 0 X1

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 4. Given the following column vectors, a = (3) b = (5) 2 find 3a – 2b. ( ) Answer

A:

Q: 40. Given a = (3,-4) and b = (1, 2). Find the vector a + 2b a. (5,-8) b.(5,0) c.(4,-4) d. (4,0)

A: Given,

Q: Let a₁ = , a₂ = [2] and b = -7° -13 -8 s b a linear combination of a₁ and a₂? OA. b is not a linear…

A:

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.