![Alternative characterizations of some linear combinations of an idempotent matrix and a tripotent matrix that commute | Semantic Scholar Alternative characterizations of some linear combinations of an idempotent matrix and a tripotent matrix that commute | Semantic Scholar](https://d3i71xaburhd42.cloudfront.net/00097678c324a68d2b64bb4cbe15e578567c680a/13-Table1-1.png)
Alternative characterizations of some linear combinations of an idempotent matrix and a tripotent matrix that commute | Semantic Scholar
![SOLVED: 2. Prove that if A and B are idempotent matrices and A B=B A, then A B idempotent. Recall that a square matrix is idempotent when A^2=A, so you know that SOLVED: 2. Prove that if A and B are idempotent matrices and A B=B A, then A B idempotent. Recall that a square matrix is idempotent when A^2=A, so you know that](https://cdn.numerade.com/ask_previews/30c46ca-f1fd-755-fd4b-62bdffbd4a_large.jpg)
SOLVED: 2. Prove that if A and B are idempotent matrices and A B=B A, then A B idempotent. Recall that a square matrix is idempotent when A^2=A, so you know that
![SOLVED: Question 3) An idempotent matrix is a matrix which, when multiplied by itself, yields itself. That is, the matrix A is idempotent if and only if AA=A. Show whether the following SOLVED: Question 3) An idempotent matrix is a matrix which, when multiplied by itself, yields itself. That is, the matrix A is idempotent if and only if AA=A. Show whether the following](https://cdn.numerade.com/ask_previews/1ab2cc82-7f7a-43c7-9dda-97731e37906f_large.jpg)