Given a vector p= (0,1) e R², numerically state a dataset {x}_1 such that li=1 x* = mịn ||x – p||2 = min Z(x®, p) = x i.e. the closest neighbour of p in Euclidean distance is the closest neighbour of p in angle.

Q: Let L be the line passing through the point P(1, 1, 1) with direction vector d=[2, 1, 0]T. Find the…

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Q: A vector y in Rn can also be viewed as an n × 1matrix Y = (y). Show that ||Y||2 = ||y||2

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Q: Compute the orthogonal projection of v= 7 onto the line through 4 2 and the origin.

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Q: -21 6. Find h so that the vectors 1 is in the span of the vectors 4, and -3 -0-

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Q: Two vectors in I are given as: la>= -2 4i D 1 Find and 16>= L₁ 1 0

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Q: 7.) for which value(s) of k are the following vectors linearly independent? u =

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Q: 4. Let V1 = (-3) - () -- () 5 = V2 10 V3 = " 12 a) For what values of h is v3 in Span {V₁, V₂} ? b)…

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Q: 'S' is a collection of vectors. Show that the rank of S is equal to the dimension of Span(S). Please…

A: Let  is a collection of vectors. Now, let the rank of is equal to  (say).It's row reduced eschelon…

Q: Compute ​​the ​​cosine ​​similarity​​ measurement​​ between ​​following ​​two ​​vector:…

A: The formula to find cosine similarity measurement between two vectors is Cos(x,y)=x.yxy where…

Q: 4. Given 3 points: A(2, 1, 1), B(2, 2, 2), and C(4, 2, 2), compute the normal vector for the…

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Q: 2. 1 show thet vectors cre linecrly dependent or lineerly in dependont

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Q: The vector ₹ = −a + 2a expressed in RCS and in terms of þ is

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Q: Let L be the line passing through the point P(-1, -3, -2) with direction vector d=[-1, 1, 1]T. Find…

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Q: 10. Find a unit vector in the same direction as PQ if P = (5, 4) and Q (3, 7). %3D

A: The solution is given as

Q: Find x∈R such that vectors a = and ?=. are equivalent

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Q: Let v = (a) 27 t (5, 2, 5) and w= (1, 5, 0). - = 4w = (b) Let 3 (t, 1, 0). For which value(s) of t…

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Q: Let l be a straight line that passes through the origin and is parallel to the vectors…

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Q: Find the next vector spacing and wrap A = 1(x + y?) +jv² + zx) + k(z? + xy)

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Q: Let L₂ be the line passing through the point P₁=(-3, -1, -2) with direction vector -[0, 3, 3], and…

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Q: Let the SPline function ConSider Sa)=a;+(x-x;)bi+(k-xi)Ci+ (x-Ki)dite; sin Ck-xi} Then find Sexi)=y;…

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Q: Is v = |1a vector in the span of S = }|2| Use Gaussian elimination to support your answer.

A: To check v=111 a vector in a span of S=123, 012, -201 or not.

Q: 6 2 Show that it is vectors are lineas dependent line or independent.

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Q: Choose the linearly dependent vectors in R Select one: -2 b. d. 2.

A: From a given set of four vectors we need to find the set of vectors which is linearly dependent in…

Q: Assume m₁ = [4., 1.5] and m₂ = [1.5, 0.5] represent the mean vectors of pattern class 1 and class 2,…

A: To find the decision boundary between two classes, we need to find the equation of the line that…

Q: Find the next vector spacing and wrap A = 1(x +y) +j + zx) + k(2 +xy)

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