Remember that the inverse of the matrix is given by 1/|C| * adj(C)
So if we find all the cofactors of the matrix C, and then equate them to the known values of C^{-1}, we can then solve using simultaneous equations.
Does this make sense?
The question:
Long ago, a mathematician wrote and on a piece of paper. Unfortunately insects have damaged the paper and all that is left is:
a) Find
My attempt:
I tried finding the inverse of C the usual way, by substituting the asterixes with variables, and then setting up the following:
I tried reducing this to row echelon form, but it quickly became a mess, and I was unable to completely reduce it. Is my approach correct so far? Thanks.