Let W be the set of all vectors [5] x + y ㅗ with x and y real. Find a basis of W

Q: Determine whether or not the set of vectors is a basis of the indicated space: (x²-1, x²+x+1, x², P3

A: Given: We have to determine whether or not the given set of vectors is a basic of the Where  is the…

Q: If x is an n-vector, show that x + 0 = x.

A: Given, If x is an n-vector.

Q: -{{}")} B = 4 -10 is a basis for R². Find the coordinates of the vector x relative to the basis B.…

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Q: Find all values of b for which the vectors are orthogonal 〈b, 3, 2〉,〈1, b, 1〉

A: Concept - If two vectors say u and v are orthogonal, then their dot product is equals to zero.That…

Q: { X H x + y Let W be the set of all vectors y with x and y real. Find a basis of W¹.

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Q: Determine whether or not the given vectors in R° form a basis for R°. 1 4 5 8 v2 V3 = V1 -9 7 V4 -5…

A: any four vectors in R3 wont be a basis  since dimensions on R3 is 3.

Q: Let B={b₁,b₂} be the basis in R2 pictured below. b₂ 0 If the coordinate vectors [11] b₁ a

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Q: Let W be the set of all vectors with z and y real. Find a basis of W [z +

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Q: Let W be the set of all vectors X x + y with x and y real. Find a basis of W¹.

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Q: Let W be the set of all vectors I y z+y with x and y real. Find a basis of W

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Q: 6. -4 Új = -5 U2 = 3 form a basis for R’ if and only if k #

A: Three vectors form the basis of ℝ3 if and only if the determinant of the matrix formed by the…

Q: g(x) = 16 14 12 10 2 6 3, if 0 ≤X<2 Dif if 2 ≤x< 11, if DIE ≤x<0 if 6 < x < 8

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Q: Let A = [[3,1,1,2,2],[-3,-2,4,2,2],[-5,5,4,-1,-2]]  Give a nonzero vector x in the nullspace of A.

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Q: 4. Find representation of the vector v = 2 – 2x+ 6x? with respect to following basis. {1+ 3x + 3x?;…

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Q: Consider the points C(3,-2,0), D(-1,5,-1). Let b be the vector with representation CD. Write b in…

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Q: Find non-zero vectors I and 7 that are both orthogonal to and orthogonal to each other.

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Q: 8 Let W be the set of all vectors y 5 + x + y with x and y real. Find a basis of W

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Q: Check whether the set V= {(2, 3), (3, 4)} is basis of R2 or  not?

A: this a spanning set and linearly independent so the vectors forms a basis of R^2

Q: nd a basis for the set of all vectors of the form below, where a, b, c are real numbers. [ a-2b+5c,…

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Q: Represent the vector ⟨16,8,−14⟩ in terms of the ordered basis B={⟨5,−2,−2⟩,⟨1,−4,2⟩,⟨−1,−5,3⟩}.

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Q: مه (ع)f(x)g = Consider C0, 1 with inner product given by (J.9) - 6. 9) of z onto V. (r)g(c) de. Find…

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Q: Are the following vectors a basis of R²?

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Q: Let W be the set of all vectors Find a basis of W. X x + y with x and y real.

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Q: 2- Show whether the set of vectors S={ ,,} is a basis of R3 ?

A: Given the set of vectorsS={&lt;3,2,2&gt;,&lt;−1,2,1&gt;,&lt;0,1,0&gt;}