I was wondering if there is a list of facts showing what makes a linearly independent and linearly dependent matrix?
For example, if there is a 3x3 matrix with a row of zeros, does that make the matrix linearly dependent?
For example, how is this matrix linearly independent?
Doesn't this have a row of zeros, so it should be dependent?
[1 3 -5]
[5 2 7]
[0 0 0]
Is linearly dependent because it has a row of zeros.