Open In App

GATE | GATE CS 1996 | Question 58

Let

be two matrices such that



Express the elements of D in terms of the elements of B.

Answer:
Explanation:



As we know,                                                                                

we can clearly say,                                                                       

Now,          

write C in terms of A,

Pre multiplying A-1 on both sides,

As we know, A-1A = I,       

Now, find inverse of the matrix which is multiplied with A then pre multiply the inverse of the matrix on both the sides,

As we know, multiplication of matrix and it’s inverse is identity matrix. So, D in terms of B becomes, 

                                                                           

                                                                                                    

Quiz of this Question

Article Tags :