{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:

Q: Consider the following vectors. u (6, –5) and v = (9, 1) u + v = (12, – 3) | (c) Find 7v – u. 7v – u…

A: By algebra of vectors we solve the this question.

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

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

A:

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

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Q: Eхample: *-? 3 -", -13 2 2. x, =[4 4 -are Determine if the vectors: linearly dependent or not.…

A: The linear dependency of vectors is solved as follows :

Q: refer  to  image  below.

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

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A: If vectors are linearly dependent then they can be expressed as a linear combination of each other

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

A:

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

A: Set of vectors x1, x2, ...xk is independent vectors if for scalar a1, a2,..., an.…

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

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A:

Q: he vector component of A = 4 + 3ŷ + 62 along B=-2â+ 6ŷ + 42 is: O a. -1.21âx+1.82ây+-4.14âz O b.…

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: 1 4 Give a reason why the vectors 1 are 8 -88 arly dependent. (3 pts) Write one vector as a linear…

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

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Q: 3. Determine if the vectors work. -2 are linearly independent. Show all 0 1

A: Step 1:The given vectors are: ⎣⎢⎡​1−23​⎦⎥⎤​,⎣⎢⎡​111​⎦⎥⎤​ and ⎣⎢⎡​0−11​⎦⎥⎤​ To determine whether the…

Q: 3 3. Let V = 5. Find vectors b₁, 62, 63 such that is a linear combination of b₁, b₂, b3. Additional…

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: Show that the vector a= (2, – 5, 3) in V, (R) can not be expressed combination of the vectors a, =…

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