The set S = is the standard basis for R?. The set A= {().()} The set A = is also a basis for R? Question 1 (구) Suppose that VA = is a particular vector given relative to the basis A. Show that Vs = is the same vector relative to the basis S or if this is not correct, find Vs. 16 1. In either case explain your reasoning.

Q: Use the accompanying figure to write each vector listed as a linear combination of u and v Vectors…

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Q: 6. Let a = (1, 0,3) and u = (2,-1,5). a.) (5 pts.) Evaluate projau. b.) (5 pts.) Find a vector that…

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A: The u vector can be computed as: u=6-1i+11-1ju=5i+10j

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Q: Find the vector in R³ from point A = (–4, 7, 6) to B = (–8, –5, 7). AB: =

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Q: Find a vector a that has the same direction as (-8, 5, 8) but has length 3. Answer: a =

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Q: response. Justlfy_your ans 1 1 -1 is a linear combination of the vectors y, 2 Show whether or not…

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Q: 5. Given the bases B and C, and the given vector in one the bases, find the coordinate vector in the…

A: Please see the below pictures for detailed solution.

Q: What vector v is given by the coordinate vector B = -21 - -5 1 1 -2 -5] -5 4 {JEJEJEJ} -5 3 -1 3 ? 5…

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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: Find a vector orthogonal to both = 10 2 and w = 2

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Q: Let a (6,7, –2) and b = (4, 4, –1) be vectors. Compute the following vectors. A. a + b =( 10 11 -3…

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A: <-6, -11, -1>Explanation:Step 1: Determine how to find the perpendicular vector To find a…

Q: Name one vector in R³ that is in the span of in the span of {Q. 3 {0.0} 2 2 Explain your reasoning.…

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Q: A vector in three dimensions can be written in either of two forms: in coordinate form as v = (a₁,…

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Q: Given u = (-5,2) and 7 = (-9, 12), find the vector 4u + v. Select the correct answer below: O (-23,…

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Q: Find a vector perpendicular to (2, −1, 10) and (1, 2, −1)

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Q: Determine a so that the vector u = {6,3} is a linear combination u = av+bw of vectors v = {-3, 3}, w…

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

A: According to our guidelines we can answer only three sub-parts and rest can be reposted.

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Q: 3) |x| = 7, y = 8, and|x - y = 10, determine | x + y. Hint: sketch out these 4 vectors on the same…

A: We know that the vector parallelogram rules  ||A+B||^2+||A-B||^2=2||A||^2+2||B||^2

Q: Suppose a and b are vectors such that axb=(1,

A: Given, a→ and b→ are vectors such that a→× b→=(1, 0, 2).

Q: Find the length of the vector x = [-2, 2, 6 ]

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Q: 6. Let a = (1, 0, 3) and u = = (2,-1,5). ) Evaluate projau. Find a vector that is orthogonal to…

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