In this page adjoint of a matrix we are going to some examples to find adjoint of any matrix.
Definition:
Let A = [aij] be a square matrix of order n. Let Aij be a cofactor of aij. Then nth order matrix [Aij]^T is called adjoint of A. It is denoted by Adj A. In other words we can define adjoint of matrix as transpose of co factor matrix.
Example 1:
Find the adjoint of the following matrix

minor of 3 


= [6(4)] = (6+4) = 2 
minor of 4 


= [010] = (10) = 10 
minor of 1 


= [0(5)] = [0+5] minor of a matrix = 5 
minor of 0 


= [24(2)] = [24+2] = 26 
minor of 1 


= [185] = 13 
minor of 2 


= [620] = 26 
minor of 5 


= [8(1)] = (8+1) = 9 
minor of 2 


= [60] = 6 
minor of 6 


= [30] = 3  
minor matrix= 


cofactor matrix = 


adjoint of a matrix = 

Questions 
Solution  
1) Find the adjoint of the following matrix

 
2) Find the adjoint of the following matrix

 
3) Find the adjoint of the following matrix

 
4) Find the adjoint of the following matrix

 
5) Find the adjoint of the following matrix

adjoint of a matrix 
Apr 01, 23 11:43 AM
Mar 31, 23 10:41 AM
Mar 31, 23 10:18 AM
2. Matrix Inverse Calculator  2x2 Matrix
3. Matrix Inverse Calculator  3x3 Matrix
4. Matrix Inverse Calculator  4x4 Matrix
5. Cramer's Rule Calculator  3x3 Matrix
6. Matrix Addition Calculator  3x3 Matrix
7. Matrix Subtraction Calculator  3x3 Matrix
8. Matrix Multiplication Calculator  2x2 Matrix
9. Matrix Multiplication Calculator  3x3 Matrix
10. Matrix Determinant Calculator  3x3 & 2x2 Matrix
11. Matrix Addition Calculator  2x2 Matrix
12. Matrix Subtraction Calculator 2x2 Matrix
13. Matrix Addition Calculator  4x4 Matrix
14. Matrix Subtraction Calculator 4x4 Matrix
15. Matrix Multiplication Calculator  4x4 Matrix