Across
- 3. A linear mapping that is both one-to-one and onto
- 7. Subspace spanned by the columns of a matrix
- 9. Given a matrix A, the set of all vectors x such that Ax is equal to the zero vector is called the ... of A
- 10. A square matrix A=(a_{ij}) such that if i != j then a_{ij}=0 is called...
- 12. Linearly independent spanning set
- 16. Given a square matrix A, we refer to the matrix B such that AB = BA = Identity matrix as the ... of A
- 17. The dimension of an eigenspace is called a ... multiplicity
- 18. The subset {a1, ..., an} of a vector space where there exist scalars c1, ..., cn, not all zero, such that c1*a1 + ... + cn*an = 0, is called linearly...
- 19. A linear mapping whose range is equal to the entire vector space
- 20. Number of pivots in the RREF
Down
- 1. A square matrix of the form PDP^{-1}, where P is invertible and D is diagonal is called...
- 2. Sum of the diagonal entries of a square matrix
- 4. A system of linear equations where the right hand side is equal to the zero vector
- 5. Given the linear mapping L, the set of all vectors x such that L(x) is equal to the zero vector is called the ... of L
- 6. A system of linear equations where a solution exists is called...
- 8. Signed determinant of the (i, j)-th submatrix
- 11. Transpose of the cofactor matrix
- 13. Given a square matrix A, a non-zero vector v for which there exists a scalar c such that Av = cv is called an ... of A
- 14. A square matrix that is one elementary row operation away from the identity matrix called an ... matrix
- 15. Given the matrix A=(a_ij) we refer to the matrix B=(b_ij) such that b_{ij}=a_{ji} as the ... of A