Show that the given set V is not a subspace of R°. V is the set of all such that x = - 1. y - 1 - 1 Let a = a2 and b = b2 be two vectors in V. Which of the following is required to show that the given set V is not a subspace of R3? Select the correct choice below, and fill in the ba answer box(es) to complete your choice. O A. Show that V is closed under vector addition and scalar multiplication. That is, a +b= is an element of V, and 2a = is an element of V. O B. Show that V is closed under vector addition but that V is not closed under scalar multiplication. That is, a +b = is an element of V, but 2a = is not an element of V. O C. Show that V is closed under vector addition or scalar multiplication. For example, a +b = is an element of V. O D. Show that V is closed under scalar multiplication but that V is not closed under vector addition. That is, 2a = is an element of V, but a +b= is not an element of V. O E. Show that V is not closed under vector addition or scalar multiplication. For example, a +b = is not an element of V.

Q: Determine if the set W of vectors (x1 , x2) in R such that xr? + x2 = 1 is a subspace of R’.

A: W is not a subspace of R²

Q: Determine if v is in the set spanned by the columns of B. B = 2-3 2 4-3 7 0 18 6-3 21 6 V= -3 3 18 9…

A: Given : B=2-324-3760186-321   , v=-33189 To Choose : Correct option

Q: Which of the following is a subspace of R? O A. All vectors of the form (a, 0,0). O B. All vectors…

A: Subspace of a vector space:  A subset V of ℝn is said to be a subspace of ℝn if 1. The zero vector…

Q: Determine whether W is a subspace of V

A: Given: V=M22, W=abcd : ad≥bc. To check: Whether W is a subspace of V or not.

Q: Determine whether the statement below is true or false. Justify the answer. Given vectors v,, ., v,…

A: We have to solve given problem:

Q: Find all values of b such that the set of vectors {(1, 1,0), (b, 1,0), (0, 2, 3)} is NOT independent…

A:

Q: Determine if the set W of vectors (X1 , X2) in R such that x1² + x2 = 0 is a subspace of R?.

A: We have to determine whether W is a subspace of R^2 or not.

Q: Find the dimension of the subspace spanned by the given vectors below. 4 6. -5 8 -4 O 3 O 4

A:

Q: Determine whether the vectors v1, v2, v3 are linearly dependent or linearly independent.

A:

Q: Find all values of h such that vector y will be in the subspace of R spanned by vectors 3. V1, V2,…

A: we will first find the equivalent matrix and then reduce it to row echelon form

Q: 5 Suppose that u = 1 2 and v= 0 are vectors in R³. Determine the smallest 2 --- 2 subspace H of R³…

A:

Q: Show that the set is linearly dependent by finding a nontrivial linear combination of vectors in the…

A:

Q: 2. Determine if the following sets of vectors are linearly independent. Then determine if they form…

A:

Q: Let a be some real number. Determine, by inspection, if the following vectors are linearly…

A:

Q: Determine whether the set of vectors in P, is linearly independent or linearly depenc S (-2- x, 2 +…

A: The vectors v1,v2,....vk are linearly independent if a1v1+a2v2+...anvn=0 where all ai=0 The vectors…

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.