1: Which of the following vectors are linearly dependent? 21 1 [11 2 A: and 3 C: B: 2 and 4 [3] d 7 -81 [6] O A B О с O D and D: Non of these

Q: Show that the vector a=(-1,13, – 5)can be written as a linear combination of b = (1, 4, – 2) and c=…

A:

Q: For which values of x are the vectors (2x, 4, x) and (-1, -2, x) orthogonal? Select one: O None of…

A:

Q: Consider the following vectors: 2 4 3 8 -3 c²= -8 -3 3 7 For each of the following vectors,…

A: Given that              a→=23-33, b→=48-85, c→=2-367

Q: Express the indicated vector was a linear combination of the given vectors V₁ and V2 if this is…

A:

Q: To express the vector =(1.2 -6) as a linear combination of three vectors ,- (0.1. 2), v= (1,0.2) and…

A:

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: Consider the following vectors: 3 9 -6 6. b= -9 9 3. 10 -9 For each of the following vectors,…

A: Solution

Q: What value of a will make the vectors (-2, x, 1) and (2, –1, 1) orthogonal? Select one: O a. 3 O b.…

A: For orthogonal, dot product of two vectors are zero.

Q: Let a (6,7, –2) and b = (4, 4, –1) be vectors. Compute the following vectors. A. a + b =( 10 11 -3…

A:

Q: Are the following vectors Linearly Independent? Show your work vų = [2 4 – 5], v2 = [7 2 – 1],v3 =…

A: Let x, y , z be three scalers. Condition for these vectors to be independent :

Q: If --0--0---0 1 and v3 = 0 then the vectors V1, V2, and v3 are linearly dependent. Select one: O…

A:

Q: Find two linearly independent vectors perpendicular to the vector 2 -5 -9 D =

A: Two vectors are said to be perpendicular to each other if and only if their dot product is zero.

Q: 1. Write the vector 1 16 as a linear combination of the vectors 1 2 and 2 1

A: Let the given vectors be:w=-7116, u=-112, v=21-5. To Do: We have to write the vector w=-7116 as a…

Q: Express the vector x as a linear combination of the u's. -17 U₁ = 0, U₂ = 5, U3 = 6, X = -43 -14…

A:

Q: Determine if the vector 2 b = 3 5 can be written as a linear combination of the vectors V₁ = 1 and…

A:

Q: Q2. ()- Work out a - 2b as a column vector.

A: Given

Q: Consider the following vectors: 3 9. 1 a= 4 c'= 9. -10 –10 For each of the following vectors,…

A:

Q: 2. a. In each part express the vector as a linear combination of 2+x+4x², p₂ = 1 − x + 3x², and p3 =…

A:

Q: Engg. Maths Memory Based Q. If the vectors (1. | 1. 2), (7,3, X. (2.3. 1) In R are Linearly…

A:

Q: 1 (a) Write the following vectors as column vectors. i. 4e₁-3e3 +22₂ - 2e₁ € R³. ii. e₂ + ₁ - 52₂ €…

A:

Q: Solve the system below. Parameterize the solution set. - 2х + Зу + 7z – 4x + 7y + 19z 11 6x 6y 6z -…

A:

Q: 1. Let x = i +4j + 2k and y = i - 3j - k. In this question, write all vectors in i, j, k notation.…

A: Let (a) To find .(b) To find .(c) To find .(d) To find .

Q: Express the vector x as a linear combination of u,, u2, and uz. – 2 3 - 2 ,x = 0 u2 = 5 u3 = – 4 u1…

A: Given u1=-201, u2=356, u3=-26-4 and x=-99-38

Q: For which a are the vectors ⟨2,a,1⟩ and ⟨1,−2,4⟩ perpendicular?

A:

Q: Show whether the vector w is a linear combination of vectors v1, v2 and v3 where --I --E --4 -- w =…

A:

Q: Consider the following vectors: 3 9. 6. -2 -5 a = 8 1 1 9. For each of the following vectors,…

A: We will find out the required value.

Q: 3- Rewrite the vector v in the form a + ib, where vectors a and b have only real components.

A: