SOLUTION: Prove that if the determinant of a set of vectors is zero these are linearly dependent.
Algebra.Com
Question 1066499: Prove that if the determinant of a set of vectors is zero these are linearly dependent.
Answer by ikleyn(52802) (Show Source): You can put this solution on YOUR website!
.
Learn the course of Linear Algebra.
RELATED QUESTIONS
Show that the set s={u,v,6u-8v}, is linearly dependent regardless of what vectors u and v (answered by venugopalramana)
If the set {v1,v2,v3} of vectors of Rm is linearly dependent, then argue that the set... (answered by venugopalramana)
Show that if s=(v1,v2,v3) is a linearly dependent set of vectors in a vector space V, and (answered by robertb)
proofs kill me! S=(v1,v2,...vn) is a linearly independent set of vectors in the vector... (answered by venugopalramana)
Entries of a 2*2 determinant are chosen from the set (-1,1).The probability that... (answered by ikleyn)
Let A be a 2x2 matrix. Prove that if there exists a linearly independent set of vectors... (answered by robertb)
Hello,
Give an example of 3 linearly dependent vectors in R^3 such that NONE of the 3... (answered by Fombitz)
Prove or show a counterexample.
If v1, v2, v3 are vectors in R4 and v3 is not a linear... (answered by ikleyn)
Let v1= [0, -9, -9], v2 = [1, -3, -3], v3 = [1, 0, 0]
Determine whether or not the... (answered by ikleyn)