Find The Inverse Of The Matrix         

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Question

Find the inverse of the matrix

        

Solution

Correct option is

.  

Hence matrix A is non-singular.

Co-factor of the 1st, 2nd  and 3rd rows of |A| are

      

Therefore the matrix formed by Co-factor of |A| is

           

      

   

    

Multiple each element of the matrix by –1/2 

   

SIMILAR QUESTIONS

Q1

Find the rank of the matrix

         

Q2

Find the Adjoint of matrix  

          

Q3

 

The value of λ for which the matrix product

      

is an identity matrix 

Q4

If A and B are two matrix such that AB = B and BA = A, then A2 + B2 =

Q5

If A and B are square matrices of size n × n such that A2– B2– = (A – B)(AB), then which of the following will be always true  

Q7

Then the value of α is

Q8

If  be the complex cube roor of unity and , then A70 is equal to

Q9

If A diag [d1d2d3], then An is equal to

Q10

 

If B is the inverse of A, the  is