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savva
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Homework Statement
I have attempted the questions below but am not sure if I am applying the method correctly to show linear dependence/independence.
a)Show that the vectors
e1=[1 1 0]T, e2=[1 0 1]T, e3=[0 1 1]T
are linearly independent
b) Show that the vectors
e1=[1 1 0]T, e2=[1 0 -1]T, e3=[0 1 1]T
are linearly independent
(T = Transverse)
Homework Equations
The determinant
The Attempt at a Solution
I have attempted to find the determinant by putting the vectors in a 3x3 matrix and finding the determinant which when =0 should give linear dependence and when ≠0 give linear independence. My working and the questions are attached in a pdf file with this thread.
I'd greatly appreciate any help