MATH 136 Crossword Puzzle

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Across
  1. 2. Signed determinant of the (i, j)-th submatrix
  2. 3. Given the matrix A=(a_ij) we refer to the matrix B=(b_ij) such that b_{ij}=a_{ji} as the ... of A
  3. 5. Sum of the diagonal entries of a square matrix
  4. 10. A square matrix of the form PDP^{-1}, where P is invertible and D is diagonal is called...
  5. 11. A square matrix A=(a_{ij}) such that if i≠j then a_{ij}=0 is called...
  6. 12. A linear mapping whose range is equal to the entire vector space
  7. 13. 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
  8. 15. The dimension of an eigenspace is called a ... multiplicity
  9. 16. 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...
  10. 17. Subspace spanned by the columns of a matrix
  11. 18. Number of pivots in the RREF
  12. 20. A linear mapping that is both one-to-one and onto
Down
  1. 1. A system of linear equations where the right-hand side is equal to the zero vector
  2. 4. A system of linear equations where a solution exists is called...
  3. 6. Transpose of the cofactor matrix
  4. 7. Linearly independent spanning set
  5. 8. 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
  6. 9. Given a square matrix A, we refer to the matrix B such that AB = BA = Identity matrix as the ... of A
  7. 14. A square matrix that is one elementary row operation away from the identity matrix called an ... matrix
  8. 19. Given a matrix A, the set of all vectors x such that Ax is equal to the zero vector is called the ... of A