cofactor

Examples of cofactor in the following topics:

• Cofactors, Minors, and Further Determinants

  • The cofactor of an entry $(i,j)$ of a matrix $A$ is the signed minor of that matrix.
  • Specifically the cofactor of the $(i,j)$ entry of a matrix, also known as the $(i,j)$ cofactor of that matrix, is the signed minor of that entry.
  • The cofactor of $a_{ij}$ entry of a matrix is defined as:
  • Note: If $i+j$ is an even number, the cofactor coincides with its minor: $C_{ij}=M_{ij}$.
  • Explain how to use minor and cofactor matrices to calculate determinants