3. Which of the following set of vectors in R3 are linearly independent Explain your answer.
3. Which of the following set of vectors in R3 are linearly independent? (a) (6, -11, 2); (-6, 13, -2), (b) (2,6,6); (2,7,6); (2,7,7), (c) (1,-1,3); (-2,0,5); (3,-1, 1); (2,2,3). Explain your answer. Which of these systems forms a basis in R3.
A set of vectors in R3 spans R3 but is not linearly independent. How many vectors can the set have? < The minimum number of vectors in this set is [Select] and the maximum number of vectors in this set is (Select ] >
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.
(1 point) Find a linearly independent set of vectors that spans the same subspace of R3 as that spanne -3 3 3 2 -5 -2 4 0 Linearly independent set:
Determine whether the set of vectors is a basis for R3. Given the set of vectors decide which of the following statements is true: A: Set is linearly independent and spans R3. Set is a basis for R3. B: Set is linearly independent but does not span R3. Set is not a basis for R3. C: Set spans R3 but is not linearly independent. Set is not a basis for R3. D: Set is not linearly independent and does not...
4 Q1. Consider the following set of vectors3,0 4 (a) Show that these vectors are linearly independent. (b) Do these vectors span a plane? Explain your answer. (c) Is the set a basis for R5? Why, or why not? 4 Q1. Consider the following set of vectors3,0 4 (a) Show that these vectors are linearly independent. (b) Do these vectors span a plane? Explain your answer. (c) Is the set a basis for R5? Why, or why not?
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
Determine if the given set of vectors is linearly independent or linearly dependent. (a) (4 points) Circle one. (linearly independent or linearly dependent) Explain your reasoning in one sentence. (b) (4 points) {[!) 100 Circle one. (linearly independent or linearly dependent) Explain your reasoning in one sentence.
(3) Determine which of the following sets is linearly independent. 02-1 (a) If the set is linearly dependent, express one vector as a non-zero linear combination of the other vectors in the set. (b) If the set is linearly independent, show that the only linear combination of the above vectors which gives the zero vector is such that all scalars are zero. (c) For each of the sets, determine if the span of the vectors is the whole space, a...
The following is not a linearly independent set of vectors. Express one of the vectors as a linear combination of the others. {[1,0,3],[2,1,4],[4,5,2]}