response. Justlfy_your ans 1 1 -1 is a linear combination of the vectors y, 2 Show whether or not the vector V = -1 -2 Attach File Browse My Computer

Q: Detexmine the Vectors are lineably independent -3 -3 6.

A: 2 vectors are given

Q: Q5. Are the set of vectors {[0 2 1]",[1 1 1]", [3 2 1]", [3 0 1]"} linearly independent? Does the…

A: Set of vectors are linearly independent if there is no non-zero solution of c1,c2,c3,c4. If there is…

Q: b) Give an example of 5 linearly independent vectors in R*, or explain why it is impossible to do…

A:

Q: a+c] a) Let S = a -b b R. Find three vectors in R3 so that each vector %3D [b-al in S can be written…

A: As this is multiple number of questions. According to our company guide lines, we should answer only…

Q: 5. Determine whether the set of vectors are linearly de- pendent or independent. Explain results…

A:

Q: Find the initial point of the vector that is equivalent to u = (2, 2, 4) and whose terminal point is…

A:

Q: Give an example of a linear combination that resulted in the zero vector that did NOT have 0's for…

A: We need to give an example  of a linear combination that resulted in the zero vector that did NOT…

Q: What is the component form of the vector with an initial point of (-2, 5) and a terminal point of…

A:

Q: Which option is the right? Two vectors are linearly dependent if: -They have the same address -They…

A: Two vector are linearly dependent if in linear combination of v1 and v2 , not all scalar are zero

Q: Are vectors a = (2, 1, 3) and b = (2, -5, 1) orthogonal? %3D %3D

A:

Q: {(0, 1,-1), (1,2, ).( 3,-1,4)}

A:

Q: Determine if the vectors ? = (1,2) ? ? = (−2,1) are orthogonal

A: v1→=(1,2)v2→=(-2,1)Two vectors are orthogonal to each other if their dot product is…

Q: Make sure the vector 7 (8, 3, 1) iş a linear combination of v{ = (-5, 2, 1) , vs = (-1,4, 2) and vg…

A:

Q: Find the length of the vector x=x= |x|=|x|=

A:

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

A:

Q: Make sure the vector 7 = (8,3, 1) iş a linear combination of vf = (-5, 2, 1) , v = (-1, 4, 2) and vg…

A:

Q: 3 -1 V3= 4 3 4 -2 2. 2.

A:

Q: 2. Determine whether the set of the vectors {V1, V2, V3, V4} are linearly dependent or independent.…

A:

Q: Is every vector in R2 a linear combination of the vectors (1,-2) and (-2,1)? Provide a detailed…

A: Let (a,b) ∈ R2 , We write the (a,b) is the linear combination of the given vector (1,-2) and (-2,1)

Q: 3. Write the vector (1, 1, 1) as a linear combination of a vector in the direction of (2, –2, 1) and…

A: We have, a→=(1, 1, 1) and u→=2,-2, 1 Let b→ is vector in the direction of u→=2,-2, 1 So, b→=λ2,-2, 1…

Q: (a) Determine whether W= (0, 5, 4) can be expressed as a linear combination of the vectors v1 =…

A:

Q: 3 aj = 4 a2 = 9 az = -3 b = 2 Determine if vector b is a linear combination of a1, a2, and a3. Show…

A:

Q: If a, b, and c are three non zero vectors, such that axa= axc and a ·b = a·c, then it is true that b…

A: a→, b→ and c→ are three non zero vectors.  Given, a→·b→=a→·c→ a→·b→-a→·c→=0a→b→-c→=0Either b→=c→ or…

Q: Let a=(2,4) b=(4.2) vectors be given. Accordingly, it is a//b. true or false no need solution just…

A: Let, u = u1i + u2j + u3k        v = v1i + v2j + v3k Two vectors u and v are parallel if u×v =0…

Q: 2 aj = a2 = az = b = Determine if vector b is a linear combination of vectors a1, a2, and аз. Show…

A:

Q: ving decide if the statement is true or false. Remember a mathematical statement is true only if it…

A: True   The detailed solution is as follows below:

Q: 9. Let ū = (4, -6), T = (-2,4), and = (6,4). (a) Are ī and ū orthogonal vectors? How about ĩ and w?…

A:

Q: ite each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.) S=…

A:

Q: describe the span of the given vectors a)geometrically b)algebraically

A:

Q: Express the vector in the form ai + bj + ck. PĮP2 if P 1 is the point ( -6, 3, 6) and P 2 is the…

A: A vectoe  from point A(x1 ,y1,z1) to  B(x2 ,y2,z2) is given as AB→=(x2-x1)i+(y2-y1)j+(z2-z1)k

Q: 5. (a) Are the vectors (1,3, 2), (2, 1,3) and (3, 2, 1) linearly independent? (b) Are the vectors…

A: Explained below

Q: 3. Find a vector equation of the line that... a) passes through (-3,5,-2) and (7,-3,1)

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: 9. What is the component form of the vector that translates the top triangle to the bottom triangle?…

A:

Q: 4 2. Decide whether the vectors (1, 2,0,-1], [2, 6, -3, -3], [3, 10, -6,-5] are linearly…

A: Given vectors are ,  [ 1,2,0,-1 ] ,  [ 2,6,-3,-3 ] ,  [ 3 ,10 ,-6 ,-5 ]  (.)  The given vectors are…

Q: 8 3 V2 = Vị Given a1 -2 and a2 = 4, what vector is formed by the linear combination a1 v1 + a2v2?…

A:

Q: The zero vector 0 = (0, 0, 0) can be written as a linear combination of the vectors v., v, and v…

A:

Q: Determine if the sets of vectors are linearly independent or dependent. Justify your answer. You may…

A:

Q: List five vectors in Span (v,, v,. Do not make a sketch. EME 5 2 V2 2 List five vectors in Span v,,…

A:

Q: 4. Determine if the vectors are orthogonal, in the same direction, or neither. Briefly explain your…

A:

Q: 1. If vectors u (3, 3), v-( 13. -7), and 2w +3u-v%3(4,-4) what is the coordinate of vector w?

A: Topic = Vector

Q: 5. a. Explain why the vectors ả = (-2, 3) and b (3, –1) span R². %3| b. Determine the values of p…

A:

Q: Defermine if the set of vectors is limerdy indepandat. 3. -5 3 マ -4 3.8/10

A:

Q: If vectors u =(3, 3), v=( 13. -7), and 2w +3u-v=(4,-4) what is the coordinate of vector w?

A: The given vectors are: And, Let the coordinates of vector w be, Substitute the coordinates in…

Q: 1. Are the vectors (-3, 0, 4), (5, -1, 2) and (1, 1, 3) linearly dependent in R3? a. Yes b. No

A:

Q: Let a = 1 and b = 1 be two vectors. What is JaIbl? - |a · b? ? [Please enter your answer…

A:

Q: Use correct vector notation at all times! 1. If a = (1, -3, 3) and = (2, — 1, 2), find: - a) 4a-b b)…

A:

Q: Express the indicated vector w as a linear combination of the given vectors v1 and v2 if this is…

A:

Q: Can vector w = 3 be written as a linear combination of v₁ = 4 4 vector w belong to span{v₁,v₂}? V₂…

A:

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.