8. Suppose v1 is a vector of all entries 1 in R"¹ space, which we call "1-vector". What is ||v1||2 (12 norm) for n = 16?

Q: Q2 (a) Let n E N and let 7, w e R". Show that if ở - = 0, then || † + w||? = || T||? + ||||?. (b)…

A: To answer the given question we shall use the following rule: 1.   If x→∈ℝn, then…

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Q: Advanced Math 4. Show that if S is simply connected. 0 x 1 3= {x+ix: 985 ! U{iy: -1≤y <∞0}, y = sin…

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Q: where

A: Given: A = [-2,-10;11,5]

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A: We have to solve given problem:

Q: 28. Find the unit vector in the opposite direction to 7 –j + k.

A: We will solve the following

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A: Since solve the first question for you. If youwant any specific question to be solved then please…

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A: Given that x1-x3+5x4=0 x2+4x3-3x4=0

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Q: 3/ Given a vector x, show that the infinity norm defined by || X 1100 = max | X₁ Do Ksign

A: Given a vector X A norm is a function such that the following conditions hold ∥x∥≥0 ∀x∈Rn ∥x∥=0 if…

Q: show all th work with correct ans

A: Solution attached.Explanation:Step 1:Step 2:Step 3:Step 4:

Q: 5. Let F= [3,2,1] and r= [2,1,–3]. Compute the following: %3D a) Proj „F. b) Orth rF = F – Proj „F.…

A: We know that  ProjrF=r.F∥r∥2r Now, r.F=23+12-31=5 ∥r∥2=r,r        =2,1,-3,2,1,-3        =22+11-3-3…

Q: and = Wnte Pas the sum of two orthogonal vectors, 2 in S panƐu} and orthogonal to .

A: Given that y→=51 and u→=36.It is required to write y→ as the sum of two orthogonal vectors, x1→ in…

Q: if 3.^wa Proj, wiHen Proije, (-2w) = lal 3w

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Q: Given the vector (x <- c(5, 2, 7), what would x^2 return? O [1] 78 O [1] 196 O [1] 25 4 49 O [1] 10…

A: Given that, the vector is        ,we need to find .

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A: According to the given information it is required to find the vector

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Q: 14. Which of the following is a subspace of M2,3? Justify your answer. a C. C a) U = E M2.3 b = ac…

A: The solution is given as

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Q: 6. Suppose that u₁ and u₂ are vectors with ||u₁||| = 2 and ||u₂|| = 3. You are also given that u₁ ·…

A: Given that  and  are vectors such that .Given that  and  for .We need to find  for .We need to…

Q: 5. Given three vectors , U V and W u+2v+w=0_and_u•v=3. If ||ū||=||||=2, find . such that

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Q: Find a basis for the null space Nul(A) and a basis for the column space Col(A) of the 2 6 -10 -4 -17…

A: Use basis concept

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Q: OR SECTION 13.6 1. Let S be a nonempty, closed, convex set in R" that does not contain the origin.…

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Q: 3) if Aza,i + a₂j + a³k , 13 = bi + bj + bk Prove that the .(A-B) -13 -(DXA) - A - (DXB) Vactors

A: We have to show Note: In the question  is given which is incorrect. It should be

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A: As per our guidelines we can solve first three sub part of question and rest can be reposted.…

Q: 7. Find if the following expressions result in a scalar or vector quantity or they are meaningless.…

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Q: 2. (5 Points) Let V5 -V5 A = 0 - V5 Find ||A||F-

A: Since you asked to solve only question 2 so i am solving only question 2     Solution:-  Given…

Q: Suppose that û, VER" with llû)) = 3 11111= √5 and ū. V =-3, Find the following 1. (3ù + V). (ū - 41)

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Q: C. TRUE or FALSE The vector 2 and 3 form a subspace in R3. Justify your answer.

A: Given vectors are &lt;1,1,1&gt;,&lt;1,2,1&gt; and &lt;2,3,2&gt;. We check whether this forms a…