Suppose we have n> 1 vectors in R" vector space where the ith element of the ith vector (for 1 ≤ i ≤n) is equal to 0 (nil), while all other elements are equal to 1. Do these n vectors form a basis of this n- space? Suppose we have k

Q: iii) The area of the parallelogram spanned by the three-dimensional vectors 3 -4 and 2 -5 is Number

A:

Q: 6. List 3 non-zero vectors in R° that are orthogonal. (You must verify that they are orthogonal.)

A: See the detailed solution below.

Q: (88) Write a nonzero vector in span (S) that is not equal to any of the vectors in S.

A:

Q: ,un} is a set of vectors that span V, and that {V1, V2, ..., Vk} is an independent set of Suppose…

A: ### Given that {u1​,u2​,...,un​} is a set of vectors that span the vector space V, this means that…

Q: O Find a vector orthogonal to both (-2, 1, 0) and to (0, 1, –5) of the form

A:

Q: Suppose that u, v, and w are vectors such that cu, V) = 3, cv, w> = – 4, cu, wɔ = 7, ||u||= 1 ||v||=…

A:

Q: make an example and prove it about five vectors spanning R⁴

A: Given: Five vector spanning R4  We need to form an example and prove the given statement 'Five…

Q: Find a vector v in space that has the magnitude ||v|| = 1/₁0 cos(a) > 0, cos(B) = cos(y) = and…

A:

Q: 9. -6 V = 3 V2 = 4 -8 List five vectors in Span V. V2}

A: The vectors in span of v1 and v2 are those can be written as linear combinations of both

Q: Consider the vectors u1 = (1, 2, 1), u2 = (0, 3, 2) and u3 = (−2, 1, 1). Determine whether the set S…

A: The objective of this question is to determine whether the set of vectors S = {u1, u2, u3} spans the…

Q: Suppose ~u and ~w are vectors in R^n . Prove that if ~u and ~w are parallel vectors in the same…

A:

Q: Please justify whether these statements are true of false. a. If u and v are vectors in R^3, then…

A: Objects with both magnitude and direction are called vectors. The vector's size is determined by the…

Q: Same direction, then ||-u + ~w|| = ||-u|| + || ~w|]. %3D

A: In this question, we prove the relation between two vectors in Rn since ~u and ~w are parallel so…

Q: the following subset of Pz CTR). S=2x²+3x-1, x²+x-1,x²-3x -13. LET be Determine if S is lin, dep, +…

A:

Q: (a) Suppose that a and b are two unit vectors in R^3, and a·b=11/24. Find the norm of the vector 4a+…

A:

Q: Let P3 is the vector space of polynomials of the degrees3,Consider the polynomials…

A: Given :  P3 is the vector space of polynomials of degree less than or equal to 3. To prove :  We…