Wrath of Math | Determine if Vectors in R^4 are Linearly Independent | Linear Algebra Exercises @WrathofMath | Uploaded 3 weeks ago | Updated 1 hour ago
We determine if three vectors in R^4 are linearly independent by determining if there is a nontrivial solution to the homogenous linear system with those vectors as the columns of the coefficient matrix. If there is a nontrivial solution then the vectors are linearly dependent, otherwise the vectors are linearly independent. #linearalgebra
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We determine if three vectors in R^4 are linearly independent by determining if there is a nontrivial solution to the homogenous linear system with those vectors as the columns of the coefficient matrix. If there is a nontrivial solution then the vectors are linearly dependent, otherwise the vectors are linearly independent. #linearalgebra
Join Wrath of Math to get exclusive videos, lecture notes, and more:
youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join
Linear Algebra course: youtube.com/playlist?list=PLztBpqftvzxWT5z53AxSqkSaWDhAeToDG
Linear Algebra exercises: youtube.com/playlist?list=PLztBpqftvzxVmiiFW7KtPwBpnHNkTVeJc
Get the textbook for this course! amzn.to/43xAWEz
★DONATE★
◆ Support Wrath of Math on Patreon: patreon.com/join/wrathofmathlessons
◆ Donate on PayPal: paypal.me/wrathofmath
Outro music by Ben Watts and is available for channel members.
Follow Wrath of Math on...
● Instagram: instagram.com/wrathofmathedu
● TikTok: tiktok.com/@wrathofmathedu
● X: https://x.com/wrathofmathedu
● Facebook: facebook.com/WrathofMath