1: Which of the following vectors are linearly dependent? 21 1 2 A: -4 and L C: 0 B: 2 and 4 [3] [6] O A О в О с O D O O 3 -8] Lo and 1 [2. D: Non of these

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

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Q: 4. Find 3v - 3u using the following vectors: u =

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Q: Find the vlaue(s) of h for which the vectors are linearly independent. -5 ~~~0 V2 = 7 8 V₁ = 1 V3 =…

A: Given linear independent vectors

Q: O a Ob 1. Which of the following is a set of linearly independent vectors? a. (1,2,1),(1,2,2),…

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Q: 2 and s 5 be given vectors in Rº. Which of the following vectors is Letn 2 a linear combinalion of ,…

A: Given vectors:v1=1-320, v2=025-4 and v3=12-21 be given vectors in ℝ4.We have to check which of the…

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

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Q: Find a non-zero vector perpendicular to the vectors and ú =

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Q: 3 a +3 75 "

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Q: 3. Determine which of the pairs of vectors are orthogonal. (a) a = (b) u = (c) y = 8 12 -5 3,0 = -3…

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Q: The vectors 3 -1 1 i = -3 11 10 + k are linearly independent if and only if k +|

A: We will find out the required value.

Q: 13. Write the reduced echelon form of a 3 x 3 matrix A such that the first two columns of A are…

A: 13. Given that A3-21=000. We have to find a 3×3 matrix Athat has first two columns of A are pivot…

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A: We are given the following vectors.

Q: For what value of x, are the vectors vị 3 V2 = 3 and v3 = 2 linearly dependent? 3 Select one: 10 9.…

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Q: Express the vector t as a linear combination of the vectors u, v, and w. 0. -2 t3D -5 W = 24 1 t= u+…

A: By Compearing the entries i have solves the problem

Q: 1: Which of the following vectors are linearly dependent? 21 1 [11 2 A: and 3 C: B: 2 and 4 [3] d 7…

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Q: 10. The set of vectors: [0 1-3 -1], (1 01 1] is linearly independent. Answer: yes or no

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Q: |Let j and ū = -4 Write j as the sum of two orthogonal vectors, 1 in 9 Span {u} and 72 orthogonal to…

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Q: 1. Find A-C|(B – D) using the following vectors: A= C= D=

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Q: c) Show that vector ū = 1 cannot be expressed as a linear combination of 2 in R3 3 vectors vi 1 and…

A: we have to show that , we can not write as a linear combination of vectors v1 and v2

Q: Which of the following vectors is a linear combination v1 v2 and v3?

A: this is a problem of linear transformation.

Q: Let j TE 2 --- = 1 and u = = Write y as the sum of two orthogonal vectors, #₁ in Span{u} and 2…

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

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Q: Let = (1,2) and 7=(3, a) be two vectors in R². (a) For which value of a the two vectors an are…

A: Vector is parallel to another iff one is constant multiple of other .example: u=kv Orthogonal when…

Q: 2. If A = 2a, + 0.3a, – 1.5a, and B = 10a, + 1.5a, - 7.5a,, Show that A and B are dependent vectors.

A: The solution is given as

Q: Are the vectors 3 OLUN Linearly dependent Linearly Independent -14 13 linearly independent or…

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Q: Q1. Construct an orthogonal set of vectors from the following vectors: X1 = k,X2 ,X3 %3D 14]

A: Use the usual inner product in the vectors and Gramm-smidth orthogonalisation process.

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: 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