How to prove that
(if A is any invertible matrix) with n>2
We know that
Multiply both the sides of equation by
, we get equation
Multiplying both the sides by A, we get equation of the form:
Dividing both the sides by det(A), the equation becomes
(1)
To find inverse of adj(A), we apply the general formula which we use to find inverse:
(2)
, putting this in equation (2) and putting equation (1) in equation (2), we get
which is the desired result.
Leave a Reply