1) Decide whether or not the set S of vectors in R3 actually spans R3. If S does not span R find a specific vector int R3 not in the span ()0)0
Why does this show that H is a subspace of R3? O A. The vector v spans both H and R3, making H a subspace of R3. OB. The span of any subset of R3 is equal to R3, which makes it a vector space. OC. It shows that H is closed under scalar multiplication, which is all that is required for a subset to be a vector space. OD. For any set of vectors in R3, the span of...
Hoping to get an answer ASAP the assignment is due pretty soon. Thanks in advance and please show your work. Q7. (20 points) 4 If the set S = 2 7 Determine: whether it spans R". whether the vector a = -2 | belongs to the spanning set of these vectors Q7. (20 points) 4 If the set S = 2 7 Determine: whether it spans R". whether the vector a = -2 | belongs to the spanning set of...
Find a basis for the subspace of R3 spanned by S. S = {(4, 4, 9), (1, 1, 3), (1, 1, 1)} STEP 1: Find the reduced row-echelon form of the matrix whose rows are the vectors in S. 1 0 0 1 0 0 0 x STEP 2: Determine a basis that spans S. 35E
Let V = R3 be a vector space and let H be a subset of V defined as H = {(a, b,c) : a? = b2 = c}, then H Select one: O A. satisfies only first condition of subspace B. is a subspace of R3 C. None of them O D. satisfies second and third condition of subspace
(1) Let S (v1, V2,..., Vn be a set of vectors in a vector space V. (a) Define what does it mean for S to be linearly independent. (b) Define what does it mean for S to be a spanning set for V. (c) Define what does it mean for S to be a basis for v.
Determine if the set of vectors shown to the right is a basis for R3. If the set of vectors is not a basis, determine whether it is linearly independent and whether the set spans R3 A. The set is linearly independent B. The set spans R3. C. The set is a basis for R3 D. None of the above are true.
Determine if the set of vectors shown to the right is a basis for R3. If the set of vectors is not a basis, determine whether it is linearly independent and whether the set spans R3 CE 8 Which of the following describe the set? Select all that apply. A. The set is linearly independent. B. The set spans R3 I C. The set is a basis for R3 OD. None of the above are true
o 1 0 -1 Exercise 2. Let A= in M3,R, and ✓ = 0 in R3. -1 0 For every vector W E R3, set g(W) = WT AT ER. (i) Show that g: R3 → R defines a linear transformation. What is the matrix [g]C,B in the - 1 bases C = {1} and B { 8.00 } ? (ii) Let f : R3 → R be the function defined by f() = 7T Aw E R. Show that...
0 0 Determine whether the set O 0 is a basis for R3. If the set is not a basis, determine whether the set is linearly independent and whether the set spans R3. 0 Which of the following describe the set? Select all that apply. A. The set is a basis for R3. B. The set is linearly independent. C. The set spans R3. D. None of the above are true.