#### Sentence Examples

• The Adjoint or Reciprocal Determinant arises from A = (a11a22a33 ...a nn) by substituting for each element A ik the corresponding minor Aik so as to form D = (A 11 A 22 A 33 ï¿½ï¿½ï¿½ A nn).
• Its value is therefore O n and we have the identity D.0 = A n or D It can now be proved that the first minor of the adjoint determinant, say B rs is equal to An-2aï¿½.
• The adjoint determinant is the (n - I) th power of the original determinant.
• The adjoint determinant will be seen subsequently to present itself in the theory of linear equations and in the theory of linear transformation.
• It is easy to see that the adjoint determinant is also 'symmetrical, viz.