# A problem about nxn Matrix

by universedrill
Tags: matrix
 HW Helper P: 5,004 There are a few different methods to prove (1). Have you studied adjugate matrices yet? If so, can you reason that $\text{adj} (A-tI_n)$ exists? If so, what can you say about $(A-tI_n) \cdot \text{adj} (A-tI_n)$?