{a} = C1 %3D {a, b} = C2 {a, b, c} = C3 %3D {a, b, c, d} = C4 where 4 a = b =| 2 c = -1 d =| ? ? Among C1, C2, C3, which are linearly independent? What vector would you make d be so that C4 is linearly dependent?

Q: 1%3D -1 2.

A:

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A: Let us consider a set of vectors v1,v2,......,vn then the set is linearly independent if…

Q: The vectors (2, 4, –6), (2, –6, 4) and (4, –2, 10) are linearly Select one: O A. independent O B.…

A: We have to state whether the given vectors are linearly independent.

Q: Given r = (5, 2, 3) and s = (-4, -2, 2) and t = (3, 4, 1) %3D a. Write the unit vector for S b.…

A: This question can be solved using the concept of unit vector and linear combination of vectors.

Q: 44. V 3(-4V3. –2V3)

A: Given  Vector

Q: (b) Write the following vectors as linear combinations of 21, 22, and 23.

A:

Q: refer  to  image  below.

A: Lineraly dependentv3={-1/3} v1 +{1/3} v2Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Which of the following sets of vectors in R³ are linearly dependent? Note. Mark all your choices.…

A:

Q: Let Are the vectors 7₁, 72 and 3 linearly dependent or linearly independent? linearly dependent [8]…

A:

Q: 3 Determine whether the vector w = | 10 is a linear combination of the vectors v1 = 0 , v2 = -2 -3…

A: Our Aim is to determine whether the vector w=310-1 is a linear combinationof the vectors v1=101,…

Q: p (x )EP 2 (R ), p (x ) = 3x? +x - 5 of the vector {1,x 1,x +1} Based on base Which of the following…

A: Given:  p(x) = 3x2+x-5

Q: Find Vectors and Perform Vector Operations in R³ Let a = (0, – 5, 5) and 6 = (4, 2, — 5). Find – 2ā…

A:

Q: 2. Let vectors a = (3, 1, 2), b = (0, 2, 1), and c = (1, 1, -1) be given. Find (2a + 3b). c. • Find…

A:

Q: In R³ you are given the vectors a = (21,-9, -21,-4) b = (x, -35, -16, -23) Choose a such that b…

A:

Q: Place the vectors a, b, c, and d in order of length, from smallest to largest. Show your…

A: We have to find length of each vectors first.

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: P is the point on the line such that AP:PB = 1:3 A a P

A: Given: P is the point on the line such that AP:PB=1:3

Q: You can use the information learned to find vector that is orthogonal to both p= (-1.2.5) and q =…

A: