Linear Algebra

How to solve

Two vectors in R² are linearly independent iff they are not scalar multiples iff det ≠ 0.

Steps

  1. Compute ad − bc.
  2. Nonzero ⇒ independent; zero ⇒ dependent.

Example

[[1,2],[2,4]]

  1. det = 0 ⇒ dependent.

Answer: dependent

How to type answers

  • Enter independent or dependent
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