Accedmychevron_right11thchevron_rightmathchevron_rightMatrices And Determinantschevron_rightExercise 4.2

Key ideas

  • Minor MijM_{ij} is the determinant formed by deleting row ii and column jj.
  • Cofactor AijA_{ij} is:
Aij=(1)i+jMijA_{ij}=(-1)^{i+j}M_{ij}
  • Determinant expansion along a row (e.g. row rr):
A=j=1narjArj|A|=\sum_{j=1}^{n} a_{rj}A_{rj}