operations to determine if the vectors are linearly independent. Explain your solution. 1 ū, = 1 |, ū, 1 Indicate clearly the elementary row operations used in each step.

Q: 11 -31 (-)[H] [7]) " 9 2 1 (b) (c) − 1] 1 2 2 2 -3 4 9 " 1 0 -1 and and 9 5 - and -3 0 5 1 [−1] 2 3

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Q: Q3 Let A(1,0,-1), B(-1,2, 1), and C(1,2,-2) are the three points in a 3D coordinates system. a)…

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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…

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Q: 3 -2 -1 For A = -4 , find the orthogonal vectors v1, V2 and v3 to be used in constructing the 1…

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Q: (c) Give an example of a linear combination that resulted in the zero vector that did NOT have O's…

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Q: Q3 Let A(1,0,-1), B(-1,2, 1), and C(1,2,-2) are the three points in a 3D coordinates system. a)…

A: We have to compute the cross product and find if it is perpendicular to both vectors.

Q: n span{u} = span{u,v}? If so, when? nat does it mean for a set of vectors to be linearly independent…

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Q: V, = [1 3 3 s]",V, =[3 10 6 7],7, =[2 7 3 2]" Check whether the vectors linearly are independent.

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Q: (a) State the Cauchy-Schwarz Inequality and use it for solving the two vectors in R if x = [1,-2,4]…

A: We write the statement of Cauchy -Schwarz Inequality and verify that the given vectors

Q: The zero vector 0 = (0, 0, 0) can be written as a linear combination of the vectors vi, V2, and v3…

A: Let there exist a, b, c such that0=av1+bv2+cv3

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Q: 2 4 -2 Here are three vectors: vị = V2 3 3 O Determine their linear dependence; if they are linearly…

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: EXAΜPLE2 Determine whether the vectors vi-(1,-2,3),v2=(5,6,-1),v3-(3,2,1) are linearly independent…

A: Given vectors are v1 = (1, -2, 3), v2 = (5, 6, -1), v3 = (3, 2, 1)

Q: 3 Determine whether the vector w = | 10 is a linear combination of the vectors v1 = 0 , v2 = -2 -3…

A: Our Aim is to determine whether the vector w=310-1 is a linear combinationof the vectors v1=101,…

Q: Working with vectors Let u = 83, -49 and v = 8 -1, 29 . Evaluate each of the following. -3v

A: Given that, u=83, -49v=8-1, 29=7, 29

Q: The zero vector 0 = (0, 0, 0) can be written as a linear combination of the vectors v1, v2, and v3…

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Q: 4. Given vectors: ū=(4, 9), v = (-8, 15) and w=(2, 10) b) Write ū as a linear combination of and w.

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Q: Find values of h for which the vectors are linearly dependent. Justify your answer. 3 7.

A: Let v1=1-14, v2=3-57, v3=-15h

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Q: -2 4 and v = 6 Compute the quantity using the vectors u = 4 V V•V (Simplify your answers.)

A: Given query is to find the Indicated vector.

Q: Write b as a linear combination of the vectors v1, v2, and v3,  where: (view attachment)   Set up…

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Q: R3: (a) a= [ O, 2, O ], (b) b = [3, 2, l] , (c) c = [l, -2, l] , (d) d = [-1, -1, -2] Compute the…

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Q: Q3 Let A(1,0,-1), B(-1,2, 1), and C(1, 2, -2) are the three points in a 3D coordinates system. a)…

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Q: Decompose v into two vectors, v, and v,, where v, is parallel to w and v, is orthogonal to w. v…

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Q: Express v = (-i, 2 + i, -1) as a linear combination of the following basis vectors given below.…

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Q: X + x, + 3x, = 0 Given this system of equations: 2x, + x, +4x, = 1 3x, + x, +5x, = 2 %3D a. Find the…

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Q: D1 = (12, 3, 9) , ô2 = (12, –15, –15), öz = (-8, 16, 18). Are the vectors1.02 and i3 linearly…

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Q: Determine whether the set of vectors given below is linearly independent or not.  Justify your…

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Q: Q4) Determine if the vectors below are independent. Justify your answer. -3° - ,V2 = [2. v, = |0|…

A: Given that:      v1=002, v2=05-8, v3=-341

Q: Part c: ( Let A(1, 0,-1), B(-1,2, 1), and C(1, 2,-2) are the three points in a 3D coordinates…

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Q: Vectors (C)-« We have two vectors: a-(:) and b-) What is the resultant of -a plus b?

A: 64=a             58=b and we have -a as  -a=-6-4 now -a+b= -6-4+58 which is further equal to  -a+b=…

Q: §5.4, Exercise 4. For which values of b are the vectors (1, b, 2b) and (2, 1, 4) linearly…

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Q: 1. For what value(s) of r (if any) is the vector (-2, 14, r) a linear combination of the vectors (2,…

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Q: 5 2 2 Write as a linear combination of the vectors 2 2 2 2. 2.

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Q: Let u = (a11, a12, a13), v = (a21, a22, a23), w = (a31, a32, a33) be three vectors in R. Explain,…

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

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Q: Solve the folfowing system of DE. Write the solution in a vector and in a scalar form. Simplify your…

A: NOTE: Refresh your page if you can't see any equations. . from the given system, write the matrix A

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

A: Please see the below picture for detailed solution.

Q: (c) Give an example of a linear combination that resulted in the zero vector that did NOT have O's…

A: Consider the vectors x1→=11, x2→=33 Consider two weighs c1, c2 such that c1x1+c2x2=0. Substitute the…

Q: Find values of for which the vectors are linearly dependent. Justify your answer.

A: Consider the matrix of the three given vectors     1 3-1-1-5 5 4 7 h The three vectors are linearly…

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Q: Make LU Factorization. b. 4 -2 7 -3 2 -4 6. 6 -9 7 -4 Determine the column vectors of (b) are…

A: The given matrix can be written as ,                                                A =…

Q: [a+c] a) Let S = Find three vectors in R³ so that each vector a - b а, b - a in S can be written as…

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Q: 3 ā = |k|,b= |2 -1,c= |k %3D For what values of k do ā, b and č span all of R³? Give a sentence (or…

A: We have to find the values of k such that a→,b→,c→ span all of R3.

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

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Q: Solve this now in 20 min and take a thumb up plz

A: To write w as a linear combination of vectors u and v