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 M22. O sis linearly dependent and does not span M2,2

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: Explain why S is not a basis for P. S = {1, 8x, -4 +x², 9x} O sis linearly dependent. O s does not…

A:

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

A:

Q: Explain why S is not a basis for R³. S = {(3, 1, 0), (4, 2, 1), (2, 0, -1)}

A: Linear dependent: - If a non-trivial combination of these vectors equals the zero vector, the…

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

A:

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

A: Given that - S = {1-x, 1-x², -1- 6x + 7x²}

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…

A:

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: 3. Determine whether the set S = {1 – t, t, 1 + t2} a. Spans P2 b. Is linearly independent с. Is a…

A: Given set is  S = { 1-t ,t , 1+t^2}

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

A:

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

A:

Q: Explain why S is not a basis for R3. S = {(-5, 1, 3), (4, 1, 6), (13, 6, 8), (0, 4, 6)} %3D O sis…

A: The given set S=-5,1,3, 4,1,6, 13,6,8, 0,4,6

Q: Explain why S is not a basis for M, O sis inearly dependent. O s does not span M.2 O sis linearly…

A: We can solve this as follows:

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

A:

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

A:

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

A:

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 P2. S = {1, 7x, -6 + x², 2x} O sis linearly dependent. O s does not…

A:

Q: The standard basis S = {ej , e2} and two custom bases B = {b1, b2} and C = {c1, c2} for R? are shown…

A: Given figure is

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

A:

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

A:

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

A:

Q: In Exercise, find the orthogonal complement W1 of W and give a basis for W1.

A: w=xy:3x+4y=0

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,. S = {1 – x, 1 – x², –1 – 6x + 7x²} O s is linearly dependent. O…

A:

Q: Explain why S is not a basis for P2. S = {1 - x, 1 – x4, –1 – 2x + 3x2} O S is linearly dependent. O…

A:

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

A:

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…

A:

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: Explain why S is not a basis for R2. S= {(3, 5), (1, 0), (0, 1)} O sis linearly dependent. O does…

A: The given set S=3,5, 1,0, 0,1

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

A:

Q: Explain why S is not a basis for P2. S = {1, 2x, -5 + x², 9x} O sis linearly dependent. O s does not…

A:

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

A:

Q: Explain why S is not a basis for M2,2.

A: We have given a set of the matrices;

Q: 1 1 11

A:

Q: Explain why S is not a basis for P2. S = {1, 5x, –7 + x², 6x} O sis linearly dependent. O s does not…

A: RECALL: S is basis for V if(i) S is linearly independent.(ii) S spans V.

Q: Let W¡ be the set: 1 Determine if W¡ is a basis for R³ and check the correct answer(s O A. W¡ is not…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

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, 5), (6, 15)} O sis linearly dependent. O S does not…

A:

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

A:

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…

A:

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…

A:

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…

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.