Determine whether the members of the given set of vectors are linearly independent. Show all work....
*) . Determine whether the members of the given set of vectors are linearly independent. If they are linearly dependent, find a linear relation among them of the form C. Cz, and C as real numbers. If the vectors are linearly independent, enter INDEPENDENT.) *(). *--(). *»( (C1,C2,C)-
Chapter 7, Section 7.3, Question 13 Determine whether the members of the given set of vectors are linearly independent for -- <t<. If they are linearly dependent, find the linear relation among them. x(1)(+) *(?)() - -602-7). «(20) = (23) | 2e-t/ linearty dependent, x(1)(t) - x2)(t) + x)(+) - 0 Iinearly dependent, x' (t) – x2)(t)-4x)(t) = 0 linearly independent linearly dependent, -2x)(1)-4x2)(t) - x)(t) - 0 linearly dependent, 2x{1}(t) - 4x2)(t) + X(t)- 0
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
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...
(1 point) Suppose S = {r, u, d} is a set of linearly independent vectors. If x = 4r + 2u + 5d, determine whether T = {r, u, 2} is a linearly independent set. Select an Answer 1. Is T linearly independent or dependent? IfT is dependent, enter a non-trivial linear relation below. Otherwise, enter O's for the coefficients. u+ !!! I=0
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)}
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
(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...
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.