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

Q: how to find a covariance matrices. i'm skipping my class 3 time

A:

Q: Find u - v, u · u, ||v||², (u - v)v, and u - (3v). u = 4i + j - 2k, v = i - 3j + 2k (a) u: v (b) u.…

A: Dot product of two vector is - a→=  a1i^ +  a2j^ +  a3k^ b→=  bi^ +  b2j^ +  b3k^ a→.b→ =  a1 b1 +…

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: calculate v × w.v = v = (1, 1, 0), w = (0, 1, 1)

A: Given v=<1,1,0> and w=<0,1,1> v×w=i→j→k→110011         =i→(1-0)-j→(1-0)+k→(1-0)…

Q: Using Cramer's Rule to solve the system 2х + 5у %3D 8 Зх — 2у %3D 9

A: Solving the given equation by using Cramer's rule.

Q: Find (a) * Find ux v, where: (a) u=(1,2,3), v=(4, 5, 6); (b) u=(-4,7,3), v = (6, —-5, 2). (a) [-3,…

A: To find the cross product of the given vectors.

Q: In Exercises 9–14, sketch the coordinate axes and then include the vectors u, v, and u * v as…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 6 2 2] 3 5 1 5 7 5. M = Transpose(M) = %3D (iii) [4 7 3 М — 8 5 2 Determinant(M) [4 6 3.

A: topic - matrices and determinants

Q: g matrices using Pivotal method [2 3 7 9 3 B = 1 8 -5 2 6 -4 5 5 -6. 9 on

A: The given matrix is  B= 2 3 7 9      3 1 8 0     -5 2 3 5      6 -4 5 -6.

Q: {(9,5,6), (3,5,6), (0,0,2), (4,6,0)} is linearly dependent in R' ulgn ihi O

A:

Q: write v as a linear combination of u,, u„ and u̟, if possible. Uz3 47. v = (10, 1, 4), u, = (2, 3,…

A:

Q: a) Write w = (−1, 1, 19) as a linear combination of v 1 = (1, −1, 0), v 2 = (3, 2, 1) and v 3 = (0,…

A: In this question we will use basic of algebra i.e first we will assume arbitrary constants a, b, c…

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

A:

Q: (1, 2, –1) and v = (6,4, 2) in Rº. %3D a) Show that w = (9, 2,7) is a linear combination of u and v…

A: Here, the given vectors are u=(1,2,-1) & v=(6,4,2) in ℝ3.

Q: Find w such that 2u + v − 3w = 0. u = (−6, 0, 0, 2),   v = (−3, 1, 5, 0)

A:

Q: Using Cramer's Rule, determine D- 3D1 +2D2- D3 from the following system of equations 3 9 5 X1 4 -1…

A: We will find the Determinants D, D1, D2 and D3 first.

Q: Find u ∙ (v × w)   if u = ⟨1, 1, 1⟩ , v = ⟨2, 1, 0⟩, w = ⟨0, 0, 1⟩

A: Given: u=1,1,1, v=2,1,0, w=0,0,1 we know that scaler triple product S.T.P. of given three vectors…

Q: ( -10! BIf (21-A)-! evaluate the matrix A.

A:

Q: Apply Cramer's Rule to solve the system of equations. 4 x1 – 3x2 + x3 2x1 – x2 -2 4.x1 – 3x3 If it…

A:

Q: 7. Let u = (-4, 2, 3), v = (5,0, –7), and w (7,-2, –5). Find the components of (a) -u + (v – 3w) (b)…

A:

Q: Find u · (v x w). u = (4, 0, 0) v = (9, 9, 9) (0, 4, 4) w %3D

A:

Q: Let u = (7 - 2i, 2 + 5i). and v = (1 + i, -3 - 6i). Find a. u+ V b. 2iu c. u•v d. lull. and Ilv|I.…

A:

Q: 6. a. Show that the vector á of b = (3, 1, 4) and ở = (1, 2, –3). (1, 12, –29) can be written as a…

A: We have to write the vector in the linear combination of two vectors

Q: Find u · v, u· u, ||v||², (u · v)v, and u (3v). u = (2, 10), v = (-3, 2) %3D (a) U V (b) U U (c)…

A:

Q: U = span{|1 4 1],[12 8 6]} W = span{[ -4 5 2],[11 5 8]} a matrix X € V such that UnW = span{X}.

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

A:

Q: 1 Determine if -1 is a linear combination of -2 -6 . If so, express -1 as a linear combination of 6.…

A:

Q: { (0,1) ,(5,6), (–1,4),(-7,1)} is linearly dependent in R² 0 صواب ihi O

A: Solve the following

Q: let u = <1, 2, 2> , v = <1, -1, -1>, w = <1, 3, -1> , and z = <2, 11, 8>.…

A: Given: u1 is parallel to u, u2 is parallel to v, and u3 is parallel to w.So, u1= au , u2=bv and…

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: U = span{[-5 2 0],[-10 16 6 ]} and W = span{[3 0 0],[3 4 2]} of V = R1x3. Find a matrix X € V such…

A: Please check further steps for solution.

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: Use determinants to decide if the set of vectors is linearly independent. 7 -8 7 - 3 4 -2 7 - 4

A: We use the relationship between vectors and the determinant of a matrix whose columns are these…

Q: Determine

A: We use definition of linearly independent set.

Q: iven u=[3,-4, 5] and v=[ 8, 15, -17]. Find (a) u dot product v (b) v dot product u (c) u cross…

A:

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: Find u · v, u · u, || V||^2, ( u • u )v, and u • (3v). u= , v= (a) u•v   (b) u•u   (c) ||v||^2…

A:

Q: {(9,5,6), (3,5,6), (0,0,2), (4,6,0)} is linearly dependent in R ulgn O İhi O

A:

Q: Find ||u||, ||v||, u-v, and d(u, v). u = (-1, 3), v = (3, 4) (a) ||u|| (b) ||v| (c) u. V (d) d(u, v)

A: We have to find u , v , u·v , and d(u, v) where u=(-1, 3) and v=(3, 4) .

Q: Find the component of the U along V U=(8,2), v=(3,-4)

A:

Q: Using Cramer's Rule, determine D3 D1- 2D2+ 2 from the following system 1 -3 5 0 4 2 X1 X2 2 8 -1 3…

A:

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

A:

Q: Q3: A = { 1, 2, 343 R= ?(1,2l,(2,4).13.2)} Find R and Represent by Matrix and show if lis reflexive,…

A:

Q: Using Cramer's rule, find w satisfying the following system of equations: 1 3 -1 -1 2 1 -1 1 -1 -1 1…

A: The given system of equation is: 13-1-11-13-11-1-131-1-1-1 wxyz =2-1-10   The coefficient matrix of…

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: (1, 2), (2, 3), (6, 0) are linearly independent

A: If one of the vector can be  written as the linear combination of remains vectors then these are…

Q: Find u x v, v x u, and v x v. u = (1, -1, -4) v = (7, -7, -9) %3D (a) ux v (b) v x u (c) v x v X V

A: Here we will find step by step, (1) u x v (2) v x u (3) v x v

Q: 4. Use Cramer's Rule to solve the system 2x1+6x2+ 8x3 4x1+15x2 + 19x3 2x1 + 3x3 16 38

A: We have to find the solution by cramer rule