Are these vectors linearly independent? • [3 4 0 2],[4 − 2 6 14],[0 8 − 6 − 11]
Are these vectors linearly independent? • [3 4 0 2],[4 − 2 6 14],[0 8 −...
4 (1 point) Are the vectors -5 H4 0 and -20 linearly independent? 3 linearly independent If they are linearly dependent, enter a non-trivial solution to the equation below. If they are linearly independent, enter the unique solution to the equation below. 4 -5 + 0 0
help with linear algebra hw (1 point) Are the vectors and -8 linearly independent? 12 linearly dependent If they are linearly dependent, find scalars that are not all zero such that the equation below is true. If they are linearly independent, find the only scalars that will make the equation below true. 4 0 -4 + 0 + 0
please help thank you, (1 point) Which of the following sets of vectors are linearly independent? A. {( 10, -16), (-5, 8 )} B. {(-4, -7, 1, -8), (1, 3, 9, 7)} c.{(-2, -6)} D.{(1, 3), (-7, 1)} E.{(-9, 4), (0,0)} F.{(0,0)} G.{(-3, 7), (9,-4), (5,-8)} H.{(6, 1, -8), (1, 2, 5)} (1 point) Are the vectors and 10 28 linearly independent? 19 linearly dependent If they are linearly dependent, find scalars that are not all zero such that the...
a and b Are the following vectors linearly independent? 7 (a) ai = (*) 3 2 02 03 12 10 9 6 (12) 0 0 (b) di = A2 = 03 = 0 0
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.
1. Determine whether or not the four vectors listed above are linearly independent or linearly dependent. If they are linearly dependent, determine a non-trivial linear relation - (a non-trivial relation is three numbers which are not all three zero.) Otherwise, if the vectors are linearly independent, enter 0's for the coefficients, since that relationship always holds. (1 point) 13--3-3 Let vi = and V4 1-11 Linearly Dependent 1. Determine whether or not the four vectors listed above are linearly independent...
2. a. Define that the vectors α, α 2, ,Ak are linearly independent. b. Prove that α, α 2, ,Ak are linearly independent if α 0 and for every 0 < i k one has that α, κ α, > , αϊ-1 3. Find a linear system with real coefficients for which the span of 2. a. Define that the vectors α, α 2, ,Ak are linearly independent. b. Prove that α, α 2, ,Ak are linearly independent if α...
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.
1. Determine (by inspection) why the vectors below can or cannot be linearly independent. Explain your answer. [ 31 rol [6] (a) 5 1,0 5 [-1] [ 0 ] [ 4 (b) | | [3][] 2 -11 L aan RS then
WURG Will Calculations: 4. Determine whether the vectors are linearly independent or are linearly dependent in R3. V1 = (-1,2, 1), v2 = (0,3,-2), V3 = (1,4,-1) Solution: