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