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 
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