Across
- 2. An element of a vector space, represented by magnitude and direction.
- 6. The set of all linear combinations of a set of vectors.
- 7. A scalar λ such that A·v = λ·v for some nonzero vector v.
- 8. A matrix that, when multiplied by the original, gives the identity matrix.
- 9. A function that maps vectors from one space to another, often linearly.
- 11. A scalar value that indicates certain properties of a square matrix.
- 13. A square matrix where all elements outside the main diagonal are zero.
- 15. A nonzero vector v that satisfies A·v = λ·v for some scalar λ.
Down
- 1. A matrix form where each row has more leading zeros than the previous.
- 3. A method using determinants to solve a system of linear equations.
- 4. The number of linearly independent rows or columns in a matrix.
- 5. A method for solving systems of linear equations using row operations.
- 10. A rectangular array of numbers arranged in rows and columns.
- 12. A horizontal arrangement of elements in a matrix.
- 14. A vertical arrangement of elements in a matrix.