Show that the following vectors are not linearly independent. x = [3, 10, 6, -3, 4] y = [4, 10, 6, 6, 8] z = [2, 1, 0, 1, 4]
Added by Jennifer J.
Close
Step 1
To show that the vectors are not linearly independent, we need to find a non-zero linear combination of them that equals the zero vector. Show more…
Show all steps
Your feedback will help us improve your experience
Adi S and 78 other Calculus 3 educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
a) Show that the following set of vectors is not linearly independent: {egin{pmatrix} 1 \ 3 \ 0 end{pmatrix}, egin{pmatrix} 0 \ 1 \ 0 end{pmatrix}, egin{pmatrix} 5 \ 6 \ 1 end{pmatrix}, egin{pmatrix} 1 \ 1 \ 1 end{pmatrix}}. b) Do the following vectors form a basis for R3? u = egin{pmatrix} 1 \ -4 \ -2 end{pmatrix}, v = egin{pmatrix} 0 \ -1 \ -2 end{pmatrix}, w = egin{pmatrix} 0 \ 4 \ 8 end{pmatrix}.
Madhur L.
Madhur B.
Prove that the set of vectors is linearly independent and spans $R^{3}$. $B=\{(1,1,1),(1,1,0),(1,0,0)\}$
Likhit G.
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD
