Below are 3 sets of 3-dimensional vectors: {}] (i) (ii) {}}} -8 (iii) 3 Determine which set(s) is(are) dependent. There may be more than one sets that are dependent.

Q: 1] Suppose that W, N are non-zero two- dimensional vectors which are not parallel. Show that if C is…

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Q: 1%3D -1 2.

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Q: 2. Choose the linearly dependent vectors in R

A: two non zero vectors V1, V2 are said to be linearly independent if and only if aV1+bV2= 0 ⇒ a=0 and…

Q: Find the coordinate vector [x]gof x relative to the given basis B= {b1,., bn}. -[-]»= [-{]==(:)

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Q: Determine whether the vectors (4, 2, 3)T , (2, 3, 1)T , and (2,−5, 3)T are linearly dependent.

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Q: Let x and y be linearly independent vectors in R2.If | |x | |= 2 and | |y | | = 3, what, if…

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Q: Find the vector projection of b = 6î + 3ĵ + 2k onto å = î – 2ĵ – 2k.

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Q: Show that the vectors below are independent. 1 3 3 3 5 3

A: The given vectors are 123,  -1-15   and  333. Compute the determinant of matrix formed by these…

Q: 1) a) Find all vectors such that X = b) Explain why there is no such that X =

A: It is required to find all the vectors v→ such that 1,2,1×v→=3,1,-5. It is required to explain why…

Q: If a vector space V contains 4 linearly independent vectors, then dim(V) > 4. true false

A: Given ,  If a vector space V contains 4 linearly independent vectors , then  We have to check dim(V)…

Q: 2 1 3. Show that that the vector u = |-5| is a linear combination of the vectors v1 = |-3 3 2 2 V2 :…

A: The given vectors are: u=2-53, v1=1-32, v2=2-4-1  and  v3=1-57 Vector u=2-53 is a linear combination…

Q: Is it true that if vectors a-b and a+b are orthogonal, then |a|=|b|.

A: For orthogonal, dot product of two vector is zero

Q: Determine whether each collection of vectors is linearly independent or linearly dependent. Justify…

A: According expert guidelines of Bartleby I have to solve only first three subpart so repost for…

Q: 6- which of the vectors X-(1,2),Y =(0,1),Z =(-2,-4 ) ,W=(-2,1), U=(-6,3) are orthogonal ,in same…

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Q: Find the Values of for which vectors linearly dependent the are -3 4 -5 8. 6. - 2 6. -8

A: Given that three vectors are linearly dependent.

Q: 1. Consider the vectors (2, 1,0, 2], [3, 1, 0, 1], [1, 1,0, -1] in R'. Decide whether they…

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Q: 4). Find all values of a for which the given vectors form basis for R' -(:) --() ---() a? u = and w…

A: A set B is said to be basis of any vector space if (1) it is linearly independent set. (2)B spans…

Q: to = [0 3 4 2]" v = [1 1 2 1]"

A: Handwriting solution.  { v0, v1, e1, e4} forms a basis for R4.

Q: Calculate a projection of vector B on A and prophecy of vector A on B. A = 4i - 3j + 2k.     B = 3i…

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Q: 1. Show that the following vectors are linearly dependent. Uz = U3= %3D -2 3.

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Q: linear algebra question:

A: The orthogonal projection is given by,

Q: (a) Show that the vectors v1 = (1, 2, 3, 4), v2 = (0, 1, 0, – 1), and v3 = (1, 3, 3, 3), form a…

A: (a) The given vectors are: v1=(1,2,3,4), v2=(0,1,0,-1), v3=(1,3,3,3)

Q: 2 3. Show that that the vector u = -5 is a linear combination of the vectors v1 3 2 ------ 2 U2 = -4…

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Q: 3. Determine whether the vectors are linearly independent or are linearly dependent in P2. 1+3x+ 3x,…

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Q: Find dimension of the span of the following vectors: 3 1 4 -3 1 -2 1

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Q: 4 Suppose v1, V2, V3 are vectors in R*, and the matrix A = v, v2 V3 has rank 1 W = Span{v1, V2, V3}…

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Q: v Are the following vectors linearly independent? Yes ,, No

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Q: . Suppose ū = and i = ;). Construct a pair of orthogonal vectors from these two vectors.

A: See below the answer

Q: Determine whether each collection of vectors is linearly independent or linearly dependent. Justify…

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Q: Find a vector that is orthogonal to both v = (1, –2,3) and w = (2, 1, –1).

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Q: 1. Consider the vectors [2, 1,0, 2), [3, 1, 0, 1), [1, 1,0, -1) in R. Decide whether they…

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Q: 2 3. Show that that the vector u =|-5 is a linear combination of the vectors vi = -4 and vz = 3.

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Q: Which of the following sets of vectors are linearly independent?

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Q: 3. 2 Find a non-zero vector in R* which is orthogonal to 1 and 2 1

A: Given vectors are 1234, 3121 and 2311. We have to find the non-zero vector in R4 which is orthogonal…

Q: 4. Show that the vectors v1, v2, and v3 are linearly dependent, where Vị = V2 = and v3 =

A: If we have a set of vectors v1, v2, v3, ..., vn, then they are said to be linearly dependent if…

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Q: 4 Find the coordinate vector of b=|-2 relative to the ordered basis B= 1

A: The coordinate vector of a vector b = ( p, q, r )T realtive to the ordered basis B = { xT , yT , zT…

Q: Show that if C is any two-dimensional vector then it can be written as a linear combination of the…

A: Given: C→ be any two dimensional vector spaceie.,   C→=x,y|x,y∈ℝFormula: Convex set∃ t,s∈ℝ such that…

Q: What must be a if the vectors (1,-a,1,1). (-1,a+2,–2, a –1), (0,2, –1,a² +a-4) are linearly…

A: We have to solve given problem:

Q: 1. determine whether each vector linear combination of the vectors in S. S= {(1, 2, -2), (2, -1, 1)}…

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Q: 1] Suppose that W, N are non-zero two- dimensional vectors which are not parallel. Show that if C is…

A: We have to solve given problem:

Q: Find the value of k such that the given vectors are linearly dependent.  (1,0,1), (0,1,3), (2,k, -1

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Q: 3. Show that that the vector u = |-5 is a linear combination of the vectors vị = |-3 3 2 V2 = -4 and…

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Q: 2. If a set of vectors contains at least 2 vectors that are scalar multiples of each other, then the…

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Q: There are 6 linearly independent vectors in R°. O True False

A: We know that the dimension of the vector space R5 is 5.

Q: Show that the vectors (1,1,0), (1,0,1), and (0,1,1) generate F3.

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Q: 1 -1 -4 V1 = V2 = 3. , V3 = -1 -4 -1

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

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Q: Prove that two vectors are linearly dependent (taken as a set of vectors) if and only if one vector…

A: Let X and Y be two vectors. Suppose these two vectors are linearly dependent. [To prove: One vector…