Linear Algebra

2. the process that transforms a linear system into an equivalent system in row echelon form is called _________ elimination.
5. possible number of solutions to a linear system.
8. a system with at least one solution is called a ___________ system.
9. the set of all n-tuples satisfying a given linear system.
11. a 3x3 linear system describes the (possible) intersection of this type of geometric object.
14. solution set consisting of only the zero vector.
17. two systems with the same solution set are said to be _____________.
18. possible number of solutions to a linear system.
19. another term for a real number
20. a system whose right hand side consists of all zeros is called a __________ system.

1. row operation II _________ rows.
3. the form in which the number of zeros in row k is k-1 and the kth entry of row k is non-zero is called _____________________________ form.
4. first non-zero entry in the pivotal row.
6. possible number of solutions to a linear system.
7. a form requiring only that all leading non-zero entries to be one, the number of leading zeros in non-zero rows in each row to increase from top to bottom, and all zero rows are below non-zero rows is called the _____________ form.
10. a 2x2 linear system does not a have a solution when the lines represented by the equations are __________________.
12. process that transforms a linear system into an equivalent system in row echelon form is called ________ reduction.
13. variables corresponding to columns in ref or rref that are skipped in the reduction process are called _________ variables.
15. the matrix consisting of the coefficient matrix and the right hand side of a linear system is called an ___________________ matrix.
16. a system with more equations than unknowns is called an _____________ system.