Linear Algebra
Across
- 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.
Down
- 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.