Defining linear independence and testing vectors using the trivial solution

Defining linear independence and testing vectors using the trivial solution

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Defining linear independence and testing vectors using the trivial solution

4:36

About this lesson

Linear Independence Overview:
Linearly independent
• Definition of linear independence
• Trivial solution

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Video 1 of 10

Defining linear independence and testing vectors using the trivial solution

5 min

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Determining linear dependence using non-trivial solutions

6 min

Three quick tests for linear dependence of vectors

3 min

Testing linear independence of three vectors using row reduction

12 min

Determining linear independence using the matrix equation Ax = 0

19 min

Determining linear dependence by inspection for four 2D vectors

3 min

Checking if two vectors in R3 are multiples to determine dependence

5 min

Identifying linear dependence using a zero vector

1 min

Testing two 4-entry vectors for linear independence by inspection

6 min

Finding values of k for linearly dependent vectors using row reduction

24 min