In the vector space of polynomials of degree at most two, coordinates of the vector p()=5+x+5x2 in the basis B are: OA (-1,2,3) OB. (5.1.5) OC (1,5.5) O D. (3. - 1.2) OE (5,5,1)

Q: If vector A = [4,1] and vector B = [-3,2] and A-B = [-1,-1]  Sketch the computation above and…

A: Given; vector A = [4,1] and vector B = [-3,2]

Q: Write the vector v = B - 3 8 {[][]}· 8 -2 as a coordinate vector with respect to the basis

A:

Q: The projection of the vector 5î + 5ĵ – 5k onto the vector –4î + 2ĵ – 4k. | |

A: We have to find out

Q: nd the values of the scalars a, b, c such that -2,1, –3) = a(2, -1,1) + b(1,3,–2) + c(-2,1,–3) %3D

A:

Q: The coordinate vector of the vector (-4,3,1) in the basis B={u=(1,1,1); v= (1,0,1); w= (0,0,1) } is…

A:

Q: Find the coordinate vector of p relative to the basis S = {P₁, P₂, P3 } for P₂. p = 15 - 20x + 6x²:…

A:

Q: -{{}")} B = 4 -10 is a basis for R². Find the coordinates of the vector x relative to the basis B.…

A:

Q: Show that S = {t+1,t-1,(t-1)2} be a basis of P2, the vector space of all second-degree real…

A:

Q: Q2) Find the coordinate vector [x]B of x relative to the basis B={b1, b2}:

A: Let us consider a vector V  with the basis b1,b2,......bn then any vector v∈V is written as linear…

Q: {} Find in R² whose coordinate vector relative to the basis B is [x]B Let B = x = 12 -5 -6 [:] 5

A: Introduction: The coordinate vector of an element of vector space related to basis is the vector…

Q: (b) 4x Find any values of x such that the vectors 3 and are parallel X-1 to each other.

A:

Q: Let B={b₁,b₂} be the basis in R2 pictured below. b₂ 0 If the coordinate vectors [11] b₁ a

A:

Q: The coordinate vector of the vector (-4,3,1) in the basis B={u= (1,1,1); v = (1,0,1); w= (0,0,1) }…

A:

Q: The vectors B= = [x]B= = -{].M]} 8 form a basis. Find a vector x given the B-coordinates of x are

A:

Q: Find a complex vector d so that if F{(fo, ƒ1, ƒ2 ƒ3)} = ċ then F{(−fo, − ƒ₁, 0, 0)} = č ® ā.

A: According to the given data, find the vector d:

Q: Given the vectors V1 = (x, 1,1), V2 = (1, x, 1) and V3 = (1,1, x). S = { V1, V2, V3} of the set Find…

A: 3 vectors form a basis of R3, if they are linearly Independent. Vectors are linearly Independent if…

Q: Find non-zero vectors I and 7 that are both orthogonal to and orthogonal to each other.

A:

Q: Represent the vector ⟨16,8,−14⟩ in terms of the ordered basis B={⟨5,−2,−2⟩,⟨1,−4,2⟩,⟨−1,−5,3⟩}.

A:

Q: Let u = (1,3, 5) and v = (-4,3, –7) be vectors in R3. (a) Find u + v. (b) Express u in terms of the…

A:

Q: What is (A - B) and |A - B| * A = i + 2j – k, B = -2i + 3j + k |

A: