. v=(0,5,3,0), u1=(1,1,2,2), u2=(2,3,5,6), u3=(-3,1,-4,2)

Q: Find u · v, u· u, ||v|2, (u · v)v, and u · (3v). u = (2, 12), v = (-3, 2) (a) u. v (b) u.u (c) ||비2…

A:

Q: Find u · v, u· u, ||v||2, (u · v)v, and u · (3v). u = (3, 11), v = (-4, 3) (a) u: V (b) u. u (c)…

A:

Q: Write v as a linear combination of u, u, and ug if possible. (Enter your answer in terms of u,, u,,…

A: Given:  v = (-1,7,2) u1 = (1,3,5) and u2 = (2,-1,3)  and u3 = (-1,3,1) we need to find v as a linear…

Q: Determine if b is a linear combination of a1, a2, and a3 a1 a2 a3 b 1 -2 -6 11 0 3 7 -5 1…

A: It is given that b is a linear combination of a1, a2, and a3.

Q: Find ||u||, |v||, and ||u + v||. u = (-1, 1, -2, 0), v = (4, 1, 0, 1) (a) ||u|| (b) ||v|| (c) ||u +…

A:

Q: Write v as a linear combination of u,, u,, and u,, if possible. (Enter your answer in terms of u,,…

A:

Q: Write v as a linear combination of u1, u2, and u3, if possible.v = (0, 5, 3, 0), u1 = (1, 1, 2, 2),…

A:

Q: Determine whether a=(2,-2,4), b=(3,5,4) and c=(0,1,1) are linearly dependent or not?

A:

Q: |u|, |v|, |2u|, |1/2v|, |u+v|, |u-v|, |u|-|v| u=2,-4 v=(-1,-1)

A:

Q: Find u · v, u· u, ||v||2, (u · v)v, and u · (3v). u = (4, -3, 5), v = (0, 6, 4) (a) u: V (b) u.u (c)…

A: I am attaching image so that you understand each and every step.

Q: Write v as a linear combination of u1, u2, and u3, if possible. (Enter your answer in terms of u1,…

A:

Q: Write v as a linear combination of u,, u2, and uz, if possible. (Enter your answer in terms of u,,…

A: the given vectors v=-1, 7, 2, u1=2,1,5, u2=3,-1,5, u3=-2,1,-3

Q: Find (a) ||u||, (b) ||v||, (c) u ∙ v, and (d) d(u, v).u = (1, −2, 2, 0), v = (2, −1, 0, 2)

A:

Q: Write v as a linear combination of u1, u2, and u3, if possible. (If not possible, enter IMPOSSIBLE.)…

A:

Q: In Exercises 47-50, write v as a linear combination of u, u,, and u, if possible. 47. u, = (2, 3,…

A:

Q: Find u x v, v x u, and v x v. 3D(-7, 1, 2) 3(4,7, -6) u = (a) u x v (b) (c) V X V

A: Solve

Q: Write v as a linear combination of u1, u2, and u3, if possible. (Enter your answer in terms of u1,…

A: This question is related to linearity of vectors, we will solve it using given information.

Q: Find u · v, v· v, ||u||2, (u · v)v, and u · (5v). u = (-3, 4), v = (3, 2) (a) u. v (b) v. v (c) (d)…

A:

Q: Write v as a linear combination of u1, u2, and u3, if possible. (Enter your answer in terms of u1,…

A: We have to write the linear combination of the given data.

Q: Find u + v, 2v, u- v, and 3u - 2v. u = (1, -4, 2, 1), v = (0, 2, 2, 3) (a) u + v = (1, – 2,4,4) (b)…

A:

Q: Find u v, v v, ||u ||, (u v)v, and u (5v). u = (4, -3, 0, 5), v = (0, 2, 4, 5) (a) u v (b) V• V (c)…

A:

Q: Write v as a linear combination of u,, u2, and uz, if possible. (If not possible, enter IMPOSSIBLE.)…

A:

Q: Find u-v, 2(u + 3v), and 2v-u. u-(6, 0, -5, 8), v= (0, 4, 8, 6) u-v (b) 2(u + 3v) - (c) 2v-u-

A: To find out u-v, 2(u+3v), 2v-u

Q: Find u x v, v x u, and v x v. u = (3, -3, -1) v = (-2, –7, -5) (a) ux v

A:

Q: Find u - v, 2(u + 3v), and 2v - u. = (6, 0, -4, 8), v = (0, 2, 8, 6) %3D %3D (a) u - v = (b) 2(u +…

A:

Q: Write v as a linear combination of u1, u2, and u3, if possible. (Enter your answer in terms of u1,…

A:

Q: Find u - v, 2(u + 3v), and 2v - u. u = (6, -2, 4, 3), (-2, -1) (a) u - v = (b) 2(u + 3v) = (c) 2v -…

A:

Q: Find ||u||, |v||, and ||u + v||. u (-1, 1, -2, 0), v = (4, 1, 0, 1) (a) ||u|| (b) ||v|| (c) ||u +…

A:

Q: Determine if b is a linear combination of ā1, ãz and dz. 6 = 2 3 16

A:

Q: write v as a linear combination of u1, u2, u3, if possible. v=(2,5,-4,0), u1=(1,3,2,1),…

A: Consider the vector v=2,5,-4,0. We have to express the vector v as a linear combination of the…

Q: Which of the following subsets are linearly independent ? B = {(2,1), (-3,-2), (9, 11)} %3D B2 =…

A: We have to check each one by one.

Q: Let u1 = (1, 3, 2, 1), u2= (2, −2, −5, 4), u3 = (2, −1, 3, 6). If v = (2, 5, −4, 0), write v as a…

A: GIvenu1=(1,3,2,1)u2=(2,-2,-5,4)u3=(2,-1,3,6)and v=(2,5,-4,0)To write v as linear combination of u1 ,…

Q: Determine

A: We use definition of linearly independent set.

Q: Find ||u||, ||v||, and ||u + v||. (1, -2, 0, 2), v = (0, 3, 2, 1) u = (a) ||u|| (b) ||v|| (c) ||u +…

A: A vector is a quantity that has both magnitude and direction. It can be also defined as the…

Q: Write v as a linear combination of u1, u2, and u3, if possible.v = (−1, 7, 2), u1 = (1, 3, 5), u2 =…

A:

Q: Find u – v, 2(u + 3v), and 2v – u. = (3, 4, 4, 0, 4), v = (-3, 3, 6, 8, -5) %3D (a) u - v = (b) 2(u…

A:

Q: How is w = (-3, –13, 7) e R³ a linear combination of (0, -2, 2) and (1, 3, –1)? U = | V = O A. w =…

A: Given query is to find the correct option for linear combination.

Q: Find u - v, 2(u + 3v), and 2v - u. = (4, 0, -3, 5), v = (0, 7, 5, 4) (a) u - v = (b) 2(u + 3v) = (c)…

A: We will find the sum of vectors.

Q: Find u - v, 2(u + 3v), and 2v - u. и%3D (6, —8, 5, 3), v = (-2, - -1) (a) u - v = (b) 2(u + 3v) =…

A:

Q: . Find u. v, v. v, ||u||², (u v)v, and u (5v). =(2, 4) u= (3, -3), V =

A: Given vectors are u = 3, -3,  v = 2, 4

Q: Write v as a linear combination of u1, u2, and u3, if possible. v = (1, 2, 3, 5), u1 = (1, 2, 3, 4),…

A: Consider the given information, v = (1, 2, 3, 5), u1 = (1, 2, 3, 4), u2 = (−1, −2, −3, 4), u3 = (0,…

Q: Find u v, u u, v, (u v)v, and u (3v). u -(5, -2, 4). v-(0, 6, 4) (a) (b) () (d) (u-v)v (e) u (3v)

A: Solution: The objective is to find the required values

Q: Let u1 = (4, -2, 1), u2 = (6,3,2) , u3 = (-2,-1,3) find the linear combination v= u1 - 3u2+ 4u3

A:

Q: Write v as a linear combination of u₁, ₂, and u3, if possible. (If not possible, enter IMPOSSIBLE.)…

A:

Q: Write v as a linear combination of u1, u2, and u3, if possible.v = (7, 2, 5, −3), u1 = (2, 1, 1, 2),…

A: If it is possible to write v as a linear combination of u1, u2, and u3, we must be able to find…

Q: Write v as a linear combination of u1, u2, and u3, if possible. 1. u1=(1,1,2,2), u2=(2,3,5,6),…

A: Given: v=0,5,3,0 , u1=1,1,2,2, u2=2,3,5,6 , u3=-3,1,-4,2 To determine: vas a linear combination of…

Q: Write v as a linear combination of u,, u,2, and u,, if possible. (Enter your answer in terms of u,,…

A:

Q: write v as a linear combination of u1, u2, u3, if possible. v=(0,5,3,0), u1=(1,1,2,2),…

A:

Q: Find u · v, u· u, ||v||2, (u · v)v, and u · (3v). u = (5, -2, 4), v (0, 7, 4) (a) u: V (b) (c)…

A: Dot product of two vectors u=<a,b,c>,v=<x,y,z> is defined by, u.v=ax+by+cz Norm of a…

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.