What is the value of a if the solution set of the equation x y z 1 1 2 3 1 det 2 3 4 1 O is a subspace of R³ ? а 7 1 O 5 O 3 O 6 O 4 O 2

Q: what is the relationship between the column space of A and the consistent system Ax=b? how are the…

A: To explain the relationship between the column space of A and consistent system Ax=b and to explain…

Q: Let y d = = -4 -6 -3 V1 || 1 -2 -4 1 V₂ = 0 2 -1 -1 4 Compute the distance d from y to the subspace…

A: I am going to solve the problem by using some simple algebra to get the required result of the given…

Q: 9. Diagonalize A = 11 9 3 6 14 3 -36-54-13

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Q: Use least squares to find the orthogonal projection of u onto the subspace of R* spanned by the…

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Q: Let y = - 11 - 1 1 9 1 0 - 1 2 , and V₂ = -6 1 . Find the distance from y to the subspace W of R4…

A: y =

Q: [a 2. Prove: W is set of all 3x2 matrices of the form: 0 Lo Is a subspace of M3,2 b a + 3b 2c

A: W is a set of all 3*2 matrices of the form  ab0a+3b0cis this a sub space of M3×2

Q: Given = 5 # -6 find the closest point to in the subspace W spanned by 3 2 6 and 0 -6 -7 -54

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Q: The set of solutions of the system of linear equations x₁ + x2-x3-4 = 0 x1 + x2 + ix3 + ix4 = 0 is a…

A: We have to solve given problem:

Q: In Exercises 11 – 15 which of the sets S are subspaces? 11. S= {(a, b, c) E R° : a > 0, b > 0, c >…

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Q: 2. Let B:= 12 -10 2 00-306 00-100 12 001 Find two vectors that span the solution set of the…

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Q: Determine is Question 2 whether W = W = {(a; z { (a; 2; 6) | α; 6ER} subspace of R

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Q: [1 3 5 0 9 0 0 0 1 8 1 3 50 9 Find the four subspace for the given matrices. A

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Q: Question 2. Solve the homogeneous system of linear equations 3x¹ - x² + x³ = 0 -x¹ +7x² - 2x³ = 0…

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Q: The cross product of two vectors in R³ is defined by Let 7 b₁ 「azbs - asb2 = [FB] x 102 asbr - abs…

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Q: S = {[a _b c]€R³|c = ab} _is a subspace of R3. صواب İhi

A: We have to solve given problem:

Q: Why is .5x.5.x.5x.5x.5 =0.03125 But .5x4=2 And 54=0.03125 Aren't they all the same equations just…

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Q: Criticize the following argument: For any vector v, we have Ov = 0. So the first criterion for…

A: Let W be the subset of a vector space V. If W is itself a vector space under the operations of V,…

Q: 2 Find a set of vectors that spans the subspace WCV of solutions to the following linear systems.…

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Q: {(a, b, c) : 3a – 26 – c = 0} of RŠ. It can be shown that Consider the subspace W = S = {(1, 1,1),…

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Q: Which of the following sets is NOT a subspace of R'? {E} [1 Го 2 31 The set of solutions to the…

A: Following sets are given

Q: If the ratio of boys to girls in tennis camp is 3:5 if there are 64 campers, how many are girls 

A: We find out how many girls as follows:  • We first need to determine the total number of parts in…

Q: Let y = 6 3 d= 1= -1 4 -4 -5 -3 1 10 Compute the distance d from y to the subspace of Rª spanned by…

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Q: %3D 14. (a) Suppose W1 and W2 are subspaces in a vector space V and that V W1 + W2. Prove that V…

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Q: Given v = U₁ = 0 find the coordinates for v in the subspace W spanned by 1 [3] 0 -1 V = -9 3.33 -3 7…

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Q: = -1 -2 -2 -2 -1 -10 1 5 -5 0 -1 -10 1 -5 5 1 7 7 1 1 20 1 -1 ART 1: hich of the following is NOT…

A: The column space of A is spanned by the linearly independent columns of A.Given reduced echelon form…

Q: Prove that the the solution to the equation 2x – y+z= 0 is a subspace of R³.

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Q: 1. a. b. x1 + x2 x1 2x1 - X2 Find the solution set of the following system of linear equations : - -…

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Q: Find a set of vectors that spans the subspace W CV of solutions to the following linear systems. 1.…

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Q: Determine if the given set W is a subspace of the given vector space V. If so, find a possible basis…

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Q: S = {[a _b c] e R*|c = ab} is a subspace of R³. صواب İhi

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Q: Let W be the subspace spanned by u, and u₂, and write y as the sum of a vector in W and a vector…

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