1 2 1 5. Determine if the set of vectors Vị = 1 is linearly > V2 = and v3 = 1 independent. Justify your response.

Q: (a) Let v, = and V3 = 2. -9 - Express v as a linear combination of those vectors. 8. Let v = 8 V =…

A: Here we have to find the vector.

Q: 6. Determine if the vectors vị = (1, -1,3, –1), v2 = (1, –1, 4, 2), v3 = (1, -1,5, 7) dependent or…

A: We have to find that given vectors are linearly dependent  or linearly independent.

Q: 1. Determine whether the vectors īi and 74 = are 0 linearly independent or linearly dependent.…

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Q: 1 1 -3 8. Let vi = 2 2 and v3 = 5 2 be given vectors in R4. Which of the following vectors is -2 V2…

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Q: Select an answer -3 -7 -10 -9 10 -9 TELE -2 -3 10 8 -4 -5 -1 6

A: Since you have posted a multiple question according to guildlines I will solve first (Q4)question…

Q: as a linear combination of x = 7 4 and y = -3 Express the vector u -2

A: NOTE: Refresh your page if you can't see any equations. . write both vectors x and y in the matrix…

Q: 18 as a linear combination of a and y Express the vector v y.

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Q: 0-0-0 2. 11 S = { %3D linearly dependent or linearly independent?

A: A set of vectors {v1, v2......vn} is said to be linearly independent if there exist scalars, such…

Q: (€) Let a = and b = be two vectors. What is al2|b|? - |a · b|? ?

A: Given vectors are, a=2-10  and b=-111 The modulus of the given vectors will be, a=22+-12+0…

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: 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: 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: 9. Explain why four vectors is R³ are always linearly dependent.

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

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

A:

Q: Find the value(s) of h for which the vectors are linearly dependent. Justify your answer. 4 -2 ry 8.…

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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…

Q: Express the vector v =-1 as a linear combination of the vectors -3 0,v2 4 and v3 -4 , if possible.…

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Q: Q4. Determine whether the vectors are linearly dependent or independent. v1=(4,-2, 2), v2 = (5, 4,…

A: v1=4-22, v2=54-3, v3=-793 We have to check whether the given vectors are linearly dependent or…

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: If possible express the vector v as a linear combination of V1, V2, and V3.

A:

Q: Determine whether the vector U = 2 is a linear combination of the vectors Xi = 2 X2 = and X ? Give…

A: Let  U→=aX1→+bX2→+cX3→  Where, a,b and c are scalar. Then,…

Q: Q5. Express the vector w = (1,0, −7) as a linear combination of the vectors v1=(5, 3, 4) and v2=(3,…

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Q: For what value(s) of a are the following vectors linearly independent: (1,5,-2), (0,6,a) and…

A: The vectors are linearly independent if the matrix formed from these vectors has non zero…

Q: Write an expression that describes the average of two consecutive even numbers. 2n + 1 O 2n + 2 2n +…

A: Let say, n , n+2 are two consecutive even number.  Then average of both is (n+n+2)/2.

Q: 12. -6 000 -4 7 h -3

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Q: Give a set of vectors that is linearly dependent for P3 Show your work.

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Q: U₁ = U₂ = Evaluate the following linear combination of two vectors. 11 U1 ² [2] + ³ [3] = [0₂₁] U2

A: