7) Use the definition to show that the following vectors are linearly independent or dependent? 11...
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...
Determine whether the given set of vectors is linearly dependent or linearly independent. U1 = (1, 2, 3), u2 = (1, 0, 1), uz = (1, -1, 5) linear dependent linear independent
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.
Q3. Determine whether the set of vectors in P2 is linearly dependent or linearly independent. S= {2 - x, 4x – x², 6-7x + x>). Q4. Show that the following set is a basis of R. --00:07)}
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:
Determine whether the members of the given set of vectors are linearly independent. Show all work. If they are linearly dependent, find a linear relation among them. a) --0----0 --0 b) 2 *(1) = 0-0 =
Problem 1. Let V1, V2 be linearly independent vectors in R3. Using definition of linear independence to show that {3v1 +4v2, 4v1 + 7v2} is linearly independent.
Determine whether the given sets of vectors are linearly dependent on mearly independent. Be sure to explain your work 21 0 0 0 54 3 2 1
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...