If then any 6 columns of are linearly independent.
True or False?
thankyou
He is saying that if you have , then you have an arbitrary matrix, with column vectors in .
ANY set of vectors containing the zero vector is linearly dependent, because:
- A set of vectors, and the zero vector being in S, then:
With all
Hence there is a nontrivial solution for .
Now, is the zero vector in the zero matrix ?