Thread: Linear Math Help

#20 What is the rank of a 4 x 5 matrix whose null space is three dimensional?

#24 Construct a 4 x 3 matrix with the rank of 1

I'm having problems with these two problems because I am not sure what "rank" means

Originally Posted by Ranger SVO

I'm having problems with these two problems because I am not sure what "rank" means

Have you read your textbook on rank?
Do you know what reduction means and implies?

Originally Posted by Plato

Have you read your textbook on rank?
Do you know what reduction means and implies?

Looking at your question actually might have helped.

So the rank of A is just the number of pivot columns in A

Is that right?

While the actual statement of the definition of rank differs from text to text, it is roughly equivalent to the number of independent row in the matrix. That is where the reduction comes into play.