questions below:

-8 -2 - 20 Let A= 8 6 28 and w = 2 . Determine if w is in Col(A). Is w in Nul(A)? 2 0 4 . . . Determine if w is in Col(A). Choose the correct answer below. O A. The vector w is in Col(A) because Ax = w is a consistent system. O B. The vector w is in Col(A) because the columns of A span R 3. O C. The vector w is not in Col(A) because Ax = w is an inconsistent system. O D. The vector w is not in Col(A) because w is a linear combination of the columns of A. Is w in Nul(A)? Select the correct choice below and fill in the answer box to complete your choice. O A. No, because Aw = O B. Yes, because Aw =Find the equation y = 50 + [31x of the least-squares line that best ts the given data points. (- 2,0), (-1.1), (0,2), (1,4) E) The line is y = D + (D) x. (Type integers or decimals.) Let B be the standard basis of the space [P2 of polynomials.Use coordinate vectors to test whether the following set of polynomials span P2. Justify your conclusion. -3t+t2,1+4t-t2,5+14t-2t2,2-9t+3t2 Does the set of polynomials span P2? 0 A- Yes; since the matrix whose columns are the B-coordinate vectors of each polynomial has a pivot position in each row, the set of coordinate vectors spans R3. By isomorphism between R3 and [P2 , the set of polynomials spans P2. 0 B- No; since the matrix whose columns are the Bcoordinate vectors of each polynomial does not have a pivot position in each row, the set of coordinate vectors does not span R3. By isomorphism between R3 and [P2 , the set of polynomials does not span P2. 0 C- Yes; since the matrix whose columns are the B-coordinate vectors of each polynomial has a pivot position in each row, the set of coordinate vectors spans R2. By isomorphism between R2 and P2, the set of polynomials spans P2. 0 D- No; since the matrix whose columns are the Bcoordinate vectors of each polynomial does not have a pivot position in each row, the set of coordinate vectors does not span R2. By isomorphism between R2 and [P2 , the set of polynomials does not span P2