what is the largest gap between rank and approximate rank?

Rank, row rank, column rank and nullity of A and of -A^T?

• Rank, row rank, column rank and nullity of A and of -A^T? 1 -1 0 1 2 0 3 -1 0 1 -1 2 1 -1 0 = A 1 0 1 2 -1 (a) without carrying out any calculations, how do you know that the columns of A are linearly dependent? (b) determine the rank, row rank, column rank and nullity of A and of -A^T I know that for it to be linearly dependent, the columns have to be a linear combination of each other but I can't for the life of me work out the numbers!!

• Answer:

  That would be... Row rank = 4 Column rank = 5 Nullity? 4 Good luck!