onto and one-to-one

[Timson28]

Is a matrix a surjection if every row of the matrix contains a pivot position and an injection if the columns of A are linearly independent?

 

[Steven G]

What do you think? What do you need help with? Please read the posting guidelines.
What does it mean if every row of the matrix contains a pivot position?
What does it mean if the columns of A are linearly independent?