Can any of the given sets of 3-vectors below span the 3-space? Why or why not? (a) [121] [231] [342]

Q: Determine whether the given set is linearly dependent or linearly independent: S =

A:

Q: Determine the regression equation 1 2 3 4 5 6. 7 8 y 0,5 0,8 1,2 1,9 3 4,8 7,5 11,9

A: Note: Commas are taken as decimals for computation. Mean x=∑xin=(1+2+3+4+5+6+7+8)/8=36/8=4.5Mean…

Q: Let a1 = [-2  h], and a2 = [10  -20] The set {a1,a2} will span R3 unless h

A:

Q: Prove that (ab + cd)² ≤ (a² + c²)(b² + ď²) for all a, b, c, d ɛ R.

A:

Q: Please provide a proof for the following statements (a) With domain of discourse as the real…

A: For all x, if x>1 Then just multiply both sides by x and finally add 4 to both sides. The process…

Q: 2. Is the following set of polynomials linearly independent in P2? Explain your work. (-1+2t + 3t?),…

A:

Q: Find the adjoint of the operation B = 2|0 × 1|- ; | 1 ×o |

A: This question asks to find the adjoint of the operation B^=2|0×1|-i|1×0|.

Q: Let G={1,-1,i,-i} with usual multiplication then G is isomorphic to Select one: a. Z, x Z, b. (Z, +)…

A:

Q: Let a and b be integers so that (a, b) = 1. Prove that (a + b, a – b) divides 2.

A:

Q: 2 in Express (2 + √2₁) simplest a + bi form.

A:

Q: Use Lagrange interpolating polynomials of order 4 to calculate (7.1) 1 3 8 Ax) 1 20 94 267

A:

Q: -275 2. Let A 013 -135 Find the adjoint of A.

A:

Q: work): Evaluate the det(A) using any method (but make sure to show your A -2 3 -12 12 -14 19 -20 31…

A: Given:The matrix is given by .To Find:We have to find the determinant of the matrix .

Q: I 1 (8t +9) 2.1 -dt

A:

Q: Let V be all elements of R2 that have the form (a, a2) where a is a real number. Show that (3,9) is…

A: Let V be all elements of R2 that have the form (a, a2) where a is a real number. We have show that…

Q: Let v = Find [-13]; ®= { [4]· [H] }; × = {[3]· B]}-· B C a. [v]: b. [v]: c. [B]: d. [B][v]: e. Are…

A: (.) Given,(.) Coordinate vector:  Let  be a basis of a vector space . Then coordinate vector of…

Q: Define two relations R, and R2 on set positive integers. R1 = {(a,b) | a > b} and R2= {(a,b)| a² = b…

A: Given that two relations R1 and R2 on the set of positive integers.                    R1=(a,b) |…

Q: - - Do the polynomials t³ + t +2, t² − t +2, t³ +2, and −t³ + t² − 5t +3 - span P3? (Give support…

A:

Q: (2b) Let A and B be sets. Prove that A – B is disjoint from A n BC LA O BE

A: The set A∩B is defined as A∩B=x|x∈A and x∈B The set A-B is defined as A-B=x|x∈A and x∉B Two sets are…