let A = [1 5 -4 -3 0] and w = [1]            [0 1 -2  1  0]              [2]            [0 0  0   0 1]              [0]                                             [-2]                                             [-1]  Is w in Nul A? Justify your answer. Find a nonzero vector in Nul A. Find a nonzero vector in Col A

Q: If         →                    AB = (−5, 4) then 4 is the _____ of the vector.

A: We know in a vector of the form (a, b); a is the x-component and b is the y-component of the vector.

Q: If x is an n-vector, show that x + 0 = x.

A: Given, If x is an n-vector.

Q: To express the vector =(1.2 -6) as a linear combination of three vectors ,- (0.1. 2), v= (1,0.2) and…

A:

Q: C. If a =.Find a vector b such that compab = v2. %3D

A:

Q: Let u = [-1 3 -1] and v =[-6 0 5]. Find the vector w = 2u – 7v and its additive inverse. %3D

A:

Q: Show that vectors (86, 87, –46), (-8, –6, –2), and (-6, –7, 6) are linearly dependent-that is, there…

A: If vectors are linearly dependent then they can be expressed as a linear combination of each other

Q: Find a representation of the vector AB= (11, -15) in R2 by giving appropriate values for the points…

A:

Q: Find each vector sum u + v. a. u = (1, 4), v = (2, −2) b. u = (3, −2), v = (−3, 2) c. u = (2, 1), v…

A: a). b).

Q: Find a vector orthogonal to both = 10 2 and w = 2

A:

Q: 1. Write the vector 1 16 as a linear combination of the vectors 1 2 and 2 1

A: Let the given vectors be:w=-7116, u=-112, v=21-5. To Do: We have to write the vector w=-7116 as a…

Q: Say that a is a vector (nonzero) in the third dimension. b and c are two other vectors. If a x b = a…

A: Given: The statement is a×b=a×c where a, b, and c are vectors. The vector a is a nonzero vector. To…

Q: a) Use the dot product to verify the type of angle connecting the vectors and y (acute, right or…

A:

Q: 2. a. In each part express the vector as a linear combination of 2+x+4x², p₂ = 1 − x + 3x², and p3 =…

A:

Q: Solve the following exercises, you will need to show all your work to receive full credit. Consider…

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

Q: The vector k represents: O A vector of manitude 1000 in any direction. O A vector of magnitude one…

A:

Q: 10 -2 -2 -2 Denote the columns of A by a,, a2, a3, and let W = Span (a,, a2, az}. - 16 Let A = 0 2…

A:

Q: 1. Let x = i +4j + 2k and y = i - 3j - k. In this question, write all vectors in i, j, k notation.…

A: Let (a) To find .(b) To find .(c) To find .(d) To find .

Q: Express the vector x as a linear combination of u,, u2, and uz. – 2 3 - 2 ,x = 0 u2 = 5 u3 = – 4 u1…

A: Given u1=-201, u2=356, u3=-26-4 and x=-99-38

Q: 3. If a = 3x - 5y and b=-2x+9y, write the vector 5a-8b in terms of x and y

A:

Q: Let u = [1, -6, 3] and v= [-3, 3, 0]T. Find the vector w = 3u - 2v and its additive inverse. W= W=…

A: The given vectors and .We have to find the vectors and find its inverse.

Q: Let V₁ = 10 3 Is the vector 6 = √3 = and 4 = 6. If not, justify why you know this. -3 in the set…

A: The given vectors, and .The aim is to find the vector  in the set generated by .

Q: Refer to the vectors below. b = [4, 3, 1] c = [1, -4, 1] d = [−1, −1, −3] Compute the indicated…

A:

Q: Let u and v be vectors in a Euclidean space. Select the best statement. A. The difference u - v may…

A: Givenu and v are vectors in Eucludean space.

Q: If c = 14, is the vector 2i + 5j in the span of ci – 12j and 7i - 6j? If c # 14, is the vector 2i +…

A: Answer

Q: Let 52D If possible, express w as a linear combination of the vectors 71, 02 and 3. Otherwise, enter…

A: We have to write w as a linear combination of v1 , v2 and v3.

Q: For which a are the vectors ⟨2,a,1⟩ and ⟨1,−2,4⟩ perpendicular?

A:

Q: 2y = 6x+10 3xーy=5

A: