using elementary transformation find the inverse of 4,5,6 and 7 part
Answers
Answer:
★ You can solve above Questions by this Simple Trick !
Basically, in elementary transformation of matrices we try to find out the inverse of a given matrix, using two simple properties :
★ A = A*I (A and I are of same order.) I = Identity matrix
★ A*B =I implies B is inverse of A.
As a set pattern, when we are to find inverse of matrix of 3rd order. We initiate with,
A= A*I. And we somehow convert this to such a result to utilize 2nd property (mentioned above.) We generally, apply the same operations to covert A (on left) to I. And I(on right) to convert into some other matrix i.e. indeed inverse of A.
Now, A trick - While converting A (on left) to I we follow a path as shown in the image below:It means first convert first row-first column element of A to 1, then move ahead and make 2nd row-1st column of A to 0 and so on… In this way you can easily find out inverse of matrix of order 3.
Answer:
★ You can solve above Questions by this Simple Trick !
Basically, in elementary transformation of matrices we try to find out the inverse of a given matrix, using two simple properties :
★ A = A*I (A and I are of same order.) I = Identity matrix
★ A*B =I implies B is inverse of A.
As a set pattern, when we are to find inverse of matrix of 3rd order. We initiate with,
A= A*I. And we somehow convert this to such a result to utilize 2nd property (mentioned above.) We generally, apply the same operations to covert A (on left) to I. And I(on right) to convert into some other matrix i.e. indeed inverse of A.
Now, A trick - While converting A (on left) to I we follow a path as shown in the image below:It means first convert first row-first column element of A to 1, then move ahead and make 2nd row-1st column of A to 0 and so on… In this way you can easily find out inverse of matrix of order 3.
