Question-1 :-
Using elementary transformations, find the inverse ,
In order to use elementary row operations we may write A = IA.![]()
Question-2 :-
Using elementary transformations, find the inverse ,
In order to use elementary row operations we may write A = IA.![]()
Question-3 :-
Using elementary transformations, find the inverse ,
In order to use elementary row operations we may write A = IA.![]()
Question-4 :-
Using elementary transformations, find the inverse ,
In order to use elementary row operations we may write A = IA.![]()
Question-5 :-
Using elementary transformations, find the inverse ,
In order to use elementary row operations we may write A = IA.![]()
Question-6 :-
Using elementary transformations, find the inverse ,
In order to use elementary row operations we may write A = IA.![]()
Question-7 :-
Using elementary transformations, find the inverse ,
In order to use elementary row operations we may write A = IA.![]()
Question-8 :-
Using elementary transformations, find the inverse ,
In order to use elementary row operations we may write A = IA.![]()
Question-9 :-
Using elementary transformations, find the inverse ,
In order to use elementary row operations we may write A = IA.![]()
Question-10 :-
Using elementary transformations, find the inverse ,
In order to use elementary row operations we may write A = IA.![]()
Question-11 :-
Using elementary transformations, find the inverse ,
In order to use elementary row operations we may write A = IA.![]()
Question-12 :-
Using elementary transformations, find the inverse ,
In order to use elementary row operations we may write A = IA.Now, in the above equation, we can see all the zeroes in the second row of the matrix on the Left Hand Side. Therefore, A-1 doesn't exist.
Question-13 :-
Using elementary transformations, find the inverse ,
In order to use elementary row operations we may write A = IA.![]()
Question-14 :-
Using elementary transformations, find the inverse ,
In order to use elementary row operations we may write A = IA.Now, in the above equation, we can see all the zeroes in the first row of the matrix on the Left Hand Side. Therefore, A-1 doesn't exist.
Question-15 :-
Using elementary transformations, find the inverse ,
In order to use elementary row operations we may write A = IA.![]()
![]()
Question-16 :-
Using elementary transformations, find the inverse ,
In order to use elementary row operations we may write A = IA.![]()
Question-17 :-
Using elementary transformations, find the inverse ,
In order to use elementary row operations we may write A = IA.![]()
Question-18 :- Matrices A and B will be inverse of each other only if
(A) AB = BA (B) AB = BA = 0 (C) AB = 0, BA = I (D) AB = BA = I
We know that if A is a square matrix of order m, and if there exists another square matrix B on the same order m, such that AB = BA = I, then B is said to be the inverse of A. In this case, it is clear that A is the inverse of B. Thus, matrices A and B will be inverses of each other only if AB = BA = I.