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, 

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