Across
- 3. – A scalar associated with an eigenvector, indicating by how much the eigenvector is stretched or shrunk during a linear transformation.
- 4. – A non-zero vector that only changes in magnitude (and not direction) when a linear transformation is applied.
- 8. – The operation of swapping the rows and columns of a matrix.
- 10. – A quantity with both magnitude and direction, often represented as an ordered array of numbers.
- 11. – A theorem used to solve a system of linear equations using determinants.
- 12. – Refers to Gaussian elimination, a method used to solve systems of linear equations.
- 13. – The number of linearly independent rows or columns in a matrix, which indicates the dimension of the vector space spanned by the rows or columns.
- 14. – A matrix that does not have an inverse, meaning its determinant is zero.
- 15. – The determinant of a smaller matrix obtained by removing one row and one column from the original matrix.
Down
- 1. – A variable that is used to define a family of solutions to a system of equations.
- 2. – Points or vectors that lie on the same straight line.
- 5. – The signed version of a minor, used in calculating determinants and matrix inverses.
- 6. – A scalar value that can be computed from the elements of a square matrix and determines whether the matrix is invertible or not.
- 7. – Points or vectors that lie in the same plane.
- 9. – A matrix that includes both the coefficients of a system of linear equations and the constants from the right-hand side.