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## Homework Statement

Let A be an n x n matrix where [itex]n \geq 2[/itex]. Show that [itex]A^{\alpha} = 0[/itex] (where [itex]A^{\alpha}[/itex] is the cofactor matrix and 0 here denotes the zero matrix, whose entries are the number 0) if and only if [itex]rankA \leq n-2[/itex]

## Homework Equations

## The Attempt at a Solution

No idea where to start with this, it's just an additional question in the lecture notes which I haven't gone through in tutorial. Thanks.