For cach of the following, you are given an ordered basis ß for an indicated vector space. Find the indicated coordinate vector relative to the given basis. Please circle your answer in each case. Find (1, 2, 3)]g, where B = {(2, 1, 1), (1, –1,0), (1,0, 0)} is a basis for R°.

Q: Given i = (1,3) and w = (15, 6), find the vector –5v+w. Select the correct answer below: O (10, –9)…

A: Vector addition

Q: Find the vector x determined by the given coordinate vector (x)g and the given basis B. -2 - [x]g =…

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

Q: Given vectors u and v in the diagram below, shade in all linear combinations cu + dv for (a) -1 1…

A: (a) Shade the linear combination.

Q: Find the coordinate vector of p relative to the basis S = {P1 P2 P3} for P2. p = 30 - 30x + 12x²; p₁…

A:

Q: Find the vector x determined by the given coordinate vector [x]g and the given basis B. - 1 2 5 - 8…

A: Find the vector x determined by the given coordinate vector [x], and the given basis B.

Q: Given vector v = (-6, 4), find -0.5v graphically by stretching the vector by its tip and then…

A:

Q: Given |a'| = 48, | b| = 16 and the angle between a'and b'is 73°, %3D %3D state a'· b. Round your…

A: 1. Given that, a→=48b→=16α=73∘ To find a→·b→

Q: Find the coordinate vector of A relative to the basis S = {A1,A2‚A3,A4}. 3 4 A1 ,A2 ,A3 = ,A4 = ;A =…

A: The given vectors, S=A1, A2, A3, A4A1=1010, A2=1100, A3=1001, A4=0001; A=3436

Q: The vector a has a magnitude of 9 units. Its z-component is 3, and its z- What is its z-component?…

A:

Q: Consider the vector, u, with initial point P(0,0) and terminal point (6,-8). Answer the following…

A:

Q: Consider the basis B of R? consisting of vectors and 5 Find ä in IR? whose coordinate vector…

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Q: Find the coordinate vector [x] of x relative to the given basis B = {b₁,b₂, b3}. b₁ = 1 - 1 - 3 , b₂…

A:

Q: Given vector v = (−4, 4), find 2.5v graphically by stretching the vector by its tip and then writing…

A: A given vector is v=<-4, 4>. We have to find the vector 2.5v graphically.

Q: A Moving to the next question prevents changes to this answer. Question 9 ? The Magntiude of the…

A:

Q: Find the coordinate vector [x] of x relative to the given basis B= (b₁,b₂}. 1: 2 MAM-HA = -5 b₁ -3…

A:

Q: Find out Vector S= { V, V2, V3} is the Basis por R. if VI : ( 3,1,-4), Vz C2,s,6), V3 - C1,4,8) %3D…

A: Here we have to find whether v1 , v2 , v3 are basis of R3 or  not.

Q: prelative to the basis S=(P. P2. P3) for P2. p = 20 - 30x +25x; P, = 5, p, = 5x, ps = 5x. %3D %3D…

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Q: 2y" + 3y' + y= 3sin x+ xe

A:

Q: If n(A) = 115, n(B) = 115, and n(A U B) = 140, what is n(An B)?

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Q: Find the equation from the point (0, 0, 0) to the plane with equation 2x-y+3z=6.

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Q: Solve 2 part only in 30 min nd take a thumb up plz

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Q: Find the sum of the series. Σ (-1) 40x8n n! n = 0

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Q: a. {(6,-3,2), (1, 1, 1), (1, −8, −1)} 2. Find the distance from the point (2, 3, 4) to the line in…

A: We have to solve the given problem:

Q: Find the coordinate vector [x] of x relative to the given basis B = {b₁,b₂, b3}. b₁ = 1 ·1, b₂ = - 2…

A: We have to find the coordinate vector xB of x relative to the given basis B={b1, b2, b3} where…

Q: Find the coordinate vector [x]B of x relative to the given basis B = {b,.b2.b3}. 1 2 1 -6 b, ,b2 - 1…

A:

Q: 1. Find an orthogonal basis for the span of the set S in the vector space V. a. {(6,-3,2), (1, 1,…

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Q: 2. Find the position vector v for each of the following pairs of points. Point P is the initial…

A:

Q: Let u = (– 3, 5, 3), v = (4, –- 5, – 2), and w = (0, 5, – 3). Assume · always refers to the dot…

A: Given: u=<-3, 5, 3>, v=<4, -5, -2> and w=<0, 5, -3>

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.