Linear Independence

Welcome to the Linear Independence category on Questions LLC! Whether you are a mathematics enthusiast, a student looking for clarification, or a professional needing a quick refresher, this category has got you covered. Linear Independence is a fundamental concept in linear algebra that plays a crucial role in various fields such as physics, engineering, computer science, and economics. Here, you will find a collection of questions related to linear independence, ranging from basic definitions and properties to advanced applications. So, if you are curious about this fascinating topic or need assistance with a specific problem, feel free to dive in and explore the wealth of knowledge our community has to offer.

Questions (8)

Decide whether the following vectors are linearly independent or not (on ()a) ((, 0) and (0, 1) b) (-1, 1, 0) and (0, 1, 2) c)
1. 2 answers
2. asked by Ayansa Dabesa soboka
3. 61 views
If v1,...,v4 are in R^4 and v3 is not a linear combination of v1, v2, v4 then {v1, v2, v3, v4] is linearly independent.Is this
1. 3 answers
2. asked by Ashley
3. 1,858 views
the vectors:v = [3, -10, 26] u = [-3, 9, -28+k] w = [1, -4, 10] are linearly independent if k does not equal what???
1. 1 answer
2. asked by go
3. 71 views
Solve using the concept of rank.Is S={−16 −7 −21,2 1 3, 21 9 2} a linearly independent set of vectors in R3? So I know how
1. 1 answer
2. asked by sam
3. 431 views
Is the set S = {v1, v2, . . . , vk} linearly independent?1 0 2 −2 0 1 0 0 1 0 −1 −1 2 0 0 0 −1 2 1 0
1. 1 answer
2. asked by sam
3. 368 views
1 0 2 −2 01 0 0 1 0 −1 −1 2 0 0 0 −1 2 1 0 Is the set S = {v1, v2, . . . , vk} linearly independent?
1. 1 answer
2. asked by sam
3. 379 views
Determine if the following pair of functions is linearly independent or dependent on (-infinity sign, infinity sign): f(t) =
1. 2 answers
2. asked by Maegan
3. 502 views
Determine which of the sets of vectors is linearly independent.A: The set {p1, p2,p3} where p1(t) = 1, p2(t) = t^2, p3(t) = 3 +
1. 1 answer
2. asked by zinnia
3. 483 views