For problem 1-10, determine whether the given set of vectors is linearly independent or linearly dependent in ℝ n . In the case of linear dependence, find a dependency relationship. { ( − 2 , 4 , − 6 ) , ( 3 , − 6 , 9 ) }
For problem 1-10, determine whether the given set of vectors is linearly independent or linearly dependent in ℝ n . In the case of linear dependence, find a dependency relationship. { ( − 2 , 4 , − 6 ) , ( 3 , − 6 , 9 ) }
Solution Summary: The author explains that a given set of vectors is linearly dependent in Rn.
For problem 1-10, determine whether the given set of vectors is linearly independent or linearly dependent in
ℝ
n
. In the case of linear dependence, find a dependency relationship.
{
(
−
2
,
4
,
−
6
)
,
(
3
,
−
6
,
9
)
}
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
Linear Algebra with Applications (9th Edition) (Featured Titles for Linear Algebra (Introductory))
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Correlation Vs Regression: Difference Between them with definition & Comparison Chart; Author: Key Differences;https://www.youtube.com/watch?v=Ou2QGSJVd0U;License: Standard YouTube License, CC-BY
Correlation and Regression: Concepts with Illustrative examples; Author: LEARN & APPLY : Lean and Six Sigma;https://www.youtube.com/watch?v=xTpHD5WLuoA;License: Standard YouTube License, CC-BY