Jason Glenn jwg3783 group Theta
Week 5—4.1.10
Test the given set of vectors for linear independence:
V1=(4,1,-3,1), V2=(2,1,4,1), V3=(-3,1,-2,1)
Solution:
So, the augmented matrix looks like:
we will try to reduce the matrix to make one row identically zero.
From this point we realize that this matrix cannot be reduced to make one row identically zero. So we must conclude that the original three vectors were all linearly independent.
We could not use the determinant to test for linear independence in this case because we did not have a square matrix.