Thread: Inverse in terms of minors and determinants

If A is an n × n matrix and det(A) 0 ,write down a formula for the entries in the inverse of A in terms of determinants and minors.




I am totally at a loss for how to show this, so any help would be appreciated.

Originally Posted by davesface

If A is an n × n matrix and det(A) 0 ,write down a formula for the entries in the inverse of A in terms of determinants and minors.

I am totally at a loss for how to show this, so any help would be appreciated.

Read about the adjoint matrix of a square matrix (which entries are precisely the matrix's minors' determinants), and which fulfills the formula ...

Tonio