...... Explain why S is not a basis for M, 2. 1 0 0 1 Os is linearly dependent. O s does not span M2,2- O s is linearly dependent and does not span M2 2. Submit Answer

Q: Explain why S is not a basis for R2. S = {(-3, 6)} O sis linearly dependent. O s does not span R². O…

A: We have to find out

Q: Determine whether S is a basis for P,. S = {5 – 4t2 + t°,-4 + t2, 2t + t, 5t) S is a basis of P3. O…

A: Find your answer below

Q: Explain why S is not a basis for R2.S = {(2, 3), (6, 9)}

A: We know the basis of R2 = {(1,0),(0,1)} So it has 2 elements So, another basis of R2 also must have…

Q: Exercise 3. Let M = {1+ x,-1+x².2 + x³). Then M is a basis for a. P3 b. P₂ c. PA d. None of the…

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Q: Explain why S is not a basis for M2.2. 0 1 0. S = 0 1 1 0 O S is linearly dependent. O s does not…

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Q: Explain why S is not a basis for R2. S = {(4, 3), (16, 12)} O s is linearly dependent. S does not…

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Q: Explain why S is not a basis for R². S = {(-6, 2)} OS is linearly dependent. S does not span R². OS…

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Q: Explain why S is not a basis for P2. S = {1, 2x, –4 + x², 3x} O sis linearly dependent. O s does not…

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Q: Explain why S is not a basis for R². S = {(2, 1), (4, 2)} O Sis linearly dependent. S does not span…

A: Let S=2,1,4,2 Since if S is basis of R2 then S is linearly independent and S spans R2 . Let S is…

Q: Explain why S is not a basis for R2. S = {(6, 1), (24, 4)} O S is linearly dependent. O s does not…

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Q: Explain why S is not a basis for P2.S = {2, x, 3 + x, 3x2}

A: From the given value for S to find the values for pi(x).

Q: Explain why S is not a basis for P,. S = {1 - x, 1 – x?, -1 – 2x + 3x?} O sis linearly dependent. O…

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Q: Explain why S is not a basis for P2. S = {1 – x, 1 – x², –1 – 6x + 7x²} S is linearly dependent. O s…

A: Consider a matrix formed by vectors of S and determine the determinant of the matrix, 1-1010-1-1-67=…

Q: Explain why S is not a basis for R². S = {(-5, 7)} O Sis linearly dependent. O s does not span R2. O…

A: use the definition of linear independent set. and of basis.

Q: In part (a.) wouldn't you have to prove that U = Span(B) as well as B being linearly independent to…

A: Yes, we need to show both the parts. And the question you asked has already been proved in the…

Q: Explain why S is not a basis for P2.S = {1 − x, 1 − x2, −1 − 2x + 3x2}

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Q: Explain why S is not a basis for R3.S = {(0, 0, 0), (1, 0, 0), (0, 1, 0)}

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Q: Explain why S is not a basis for M2,2- s={: :}[::} 1 0 0 1 O sis linearly dependent. O s does not…

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Q: Is the set Sa basis for R?? If not, why? S = {(2,3)} O Yes O No, S does not span R? No, S is not…

A: Basis : Let ' V ' be a vector space over the field ' F '. Then a basis is a linearly independent set…

Q: Explain why S is not a basis for M2,2" 0 1] 1 0 0 1 1 0 O sis linearly dependent. O s does not span…

A: Here given set as S=0101, 1010 Now a, b lies in the field…

Q: Explain why S is not a basis for R2. S = {(4, 3), (8, 6)} O is linearly dependent. O s does not span…

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Q: Explain why S is not a basis for R. S = {(-6, 4)} O s is linearly dependent. O s does ot span R. O s…

A: We will explain the reason.

Q: (4) 10. Let H = {r+2x2, 1+ ka?, k + (2k + 3)r2} (a) For what value(s) of k is H linearly dependent?…

A: This belong to linear algebra.we check linear independence for the given vectors and find k so that…

Q: Explain why S is not a basis for P2. S = {1, 6x, –9 + x², 7x} O Sis linearly dependent. O S does not…

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Q: Explain why S is not a basis for R2. S = {(-3, 6)} O sis linearly dependent. O s does not span R2. O…

A: Note: For R 2 the span should be 2. And the two vectors should be linearly independent.

Q: Explain why S is not a basis for R2. S = {(4, 3), (12, 9)} S is linearly dependent. O s does not…

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Q: Explain why S is not a basis for R2. S = {(-5, 4)} O is linearly dependent. O s does not span R2. O…

A: The given set,  S=-5,4

Q: Explain why S is not a basis for R2. S = {(-4, 8), (0, 0)} O sis linearly dependent. O s does not…

A: S is not a basis for R2 because S is linearly dependent.

Q: Explain why S is not a basis for P,. .2 S = (1 - x, 1 - x², -1 – 8x + 9x²} O s is linearly…

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Q: Explain why S is not a basis for R2. S = {(-6, 4)} O sis linearly dependent. O s does not span R2. O…

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Q: Let A = {v1, vz, - also a basis for pV? How about the converse, i.e. if B is a basis for FV, is A…

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Q: Explain why S is not a basis for M,2" 0 1 1 0 S = 1 0 0 1 O sis linearly dependent. O s does not…

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Q: Explain why S is not a basis for R3.S = {(1, 1, 2), (0, 2, 1)}

A: To determine: The set S is not a basis of R3 S = { (1, 1, 2), (0, 2, 1) }

Q: Explain why S is not a basis for R². S= {(6, 3), (18, 9)} O is linearly dependent. O s does not span…

A: Given that s={(6,3),(18,9)}

Q: Let M = {[; 1-C %3D Then M is a basis for

A: Final Ans: None of the Above

Q: (b) Find the basis for the col(A) and null(A) 4 5 2 1 30 1 3 2 2 1 A ||

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Q: Explain why S i not a basis for P2. s = {1 - x, 1 - x2, -1 – 2x + 3x?} O is linearly dependent. O s…

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Q: Explain why S is not a basis for R2. S = {(2, 5), (8, 20)} O Sis linearly dependent. O s does not…

A: Let's find.

Q: Explain why S is not a basis for P2. S = {1, 6x, –5 + x², 8x} O sis linearly dependent. S does not…

A: Basis: A non-empty subset B of a vector space is basis if a) B is linearly independent b) B spans V.…

Q: is linearly independent. spans R3 5 is a basis for R³. None of the above.

A: Given set of vectors are : S=003.1,-2.74.90,-2.74.93.1 in R3 Now need to select which statements are…

Q: Explain why S is not a basis for R2. S = {(2, 1), (4, 2)} S is linearly dependent. S does not span…

A: Here given ℝ2 is vector space S is a subset of ℝ2. S=2, 1, 4, 2

Q: Explain why S is not a basis for R2. S = {(2, 5), (6, 15)} O sis linearly dependent. O S does not…

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Q: s = (6 4 1) (3 −5 1) (8 13 6) (0 6 9) explain why S is not a basis for R3

A: Given S=6,4,1,3,−5,1,8,13,6,0,6,9. We have to explain why S is not basis of R3. Definition:- The…

Q: 2. Let S ={2 , 1 in M31. a. Determine whether S spans M31. b. Determine whether S is linearly…

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Q: Explain why S is not a basis for R². S = {(-4, 3)} O sis linearly dependent. O s does not span R2. O…

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Q: Explain why S is not a basis for M, 2. -{{::}{:}} 0 1 1 0 10 0 1 S is linearly dependent. s does not…

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Q: 1 2 1 1 Let U1 = 1 U2 = 1 V3 V4 1 1 t For what of value of t is the set{v1, v2, V3, v4 NOT a basis…

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Q: Explain why S is not a basis for M. 2,2' 1 1 S = 0 0 O is linearly dependent. O s does not span M2,2…

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Q: Consider the limear thans femartin IC) - Ax de fiva by te matrix Ac 20 23 1 34 2 2 2. 1 20 D Find a…

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Q: The set S = {; 1G 11 Jis: a. Linearly independent b. Linearly dependent c. Basis of M2.2 d. None of…

A: The correct option is A i.e. the set S={1-12    0 , -1031 , 0110 }is linearly independent .