Find an orthonormal basis of the plane z1 + 7z2 - 13 = 0. {

Q: Find the coordinates of the vector (2, -3, 4, -5) relative to the basis (0, 1, 0, -1), (1, 0, -1,…

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Q: Calculate r'(t) and T(t) and evaluate T(1). r(t) = (6 + 7t,12,5 – 1²) (Give your answers using…

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Q: The vectors --[+]»-[i]»-[3]m² -]»-[3]»=[] V2 = span R2 but do not form a basis. Find two different…

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Q: Orthogonalize the basis {(1, 1, 1, 1),(1, 1, −1, −1),(0, −1, 2, 1)} by the Gram-Schimidt process.…

A: Let x1 = 1111 ; x2 = 11-1-1 ;  x3 = 0-121      Using Gram schmidt process , we get orthogonal…

Q: Show linear dependence in part (ii) to show that ({1,0,1}) is a basis.

A: From part ii)We have to show that the set  is a basis of .We know thatA basis B of a vector space V…

Q: Find a basis of R3 that contains the vectors (1,0,1) and (1,-1,1)

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Q: The vectors v1, v2 and v3 form an orthonormal basis for R3 where v1:=vector([0,0,-1]);…

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Q: Find an orthonormal basis of the plane ¤1 + 5x2 – x3 = 0. %3D

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Q: Verify that the polynomials 2 – x², x' – x, 2 – 3x² and 3 – x' form a basis for P3(x). Express cach…

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Q: Find an orthonormal basis of the plane x₁ + 3x2 − x3 = 0.

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Q: Determine whether the set of vectors {(2,-1,3),(4,1,2),(8,-1,8)} form a basis for R3.

A: Consider the vectors : 2,-1,3, 4,1,2, 8,-1,8 To form a basis these vectors, the vectors must be…

Q: Find the coordinate vector of a = [*]B= -10-30- 2 with respect to the basis B = for R³.

A: Given: It is given that, x→=42-4 and B=152, 01-6, 001. To find: We have to find the coordinate…

Q: Find an orthonormal basis of the plane x1 + 8x2 – x3 = 0.

A: That's easy. Have a great day!!!

Q: Find the coordinate vector of = 48 [B = 5 -1 with respect to the basis B = 0 {} for R³.

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Q: Prove that a(-3,2) and b (2,-3) form basis vectors in xy plane

A: a set is said to be basis if set is linearly independent and it spans the space.

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: Find orthonormal vectors q₁ and 92 in the plane spanned by a = vector in this plane is closest to…

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Q: Find an orthonormal basis of the plane x1 - 6x2 - x3 = 0. { }

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Q: Find an orthonormal basis of the plane x₁ +4x2x3 = 0.

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Q: Show that the vectors (4-3) and (5,2) form a basis CF TR

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Q: Find an orthonormal basis of the plane x1+ 5x2 – x3 = 0. }

A: Introduction: A set of vectors that is orthogonal to each other and spans a plane is the set of…

Q: Find an orthonormal basis of the plane x₁ + x₂ + x3 = 0

A: The given problem is to find the orthonormal basis of the given plane. Given plane is x1+x2+x3=0

Q: Make the vectors u1=(2,0,-1,1), u2=(1,1,-1,3), u3= (-1,1,1,-1) orthonormal.

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Q: 3) Find a basis of F3 containing the vectors (1, 2, -3), (2, 6, -3)

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Q: The vectors 02 = 6. 03 = form a basis for R' if and only if k +

A: Given vectors are: v1→=4-10,v2→=-666,v3→=24k We have to find the value of k when the vectors form…

Q: Find an orthonormal basis of the plane z + 7r2 - r3 = 0.

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