XII Maths Chapter 4. Determinant | Page 9

Theorem
Numerical: Find adjoint of Matrix
Solution:
A11 = 4
A12 =-3
A21 =-2
A22 = 2
Theorem
Singular Matrix A square matrix A is said to be singular if | A | = 0.
Non Singular Matrix A square matrix A is said to be non-singular if | A | ≠ 0
Theorem: If A and B are non singular matrices of the same order, then AB and BA are also non singular matrices of the same order
Theorem: If A and B are non-Zero Matrices of the same order, then AB and BA can be Zero Matrix