Theory of Intelligence
11TH•Mathematics•Matrices And Determinants•Exercise 4.2

Key ideas

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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}

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