Rational Solver
0 votes
5 views
Let $P_{A}(x)$ denote the characteristic polynomial of a matrix $A$. Then for which of the following matrices, $P_{A}(x)-P_{A^{-1}}(x)$ is a constant?

1. $\left(\begin{array}{ll}3 & 3 \\ 2 & 4\end{array}\right)$

2. $\left(\begin{array}{ll}4 & 3 \\ 2 & 3\end{array}\right)$

3. $\left(\begin{array}{ll}3 & 2 \\ 4 & 3\end{array}\right)$

4. $\left(\begin{array}{ll}2 & 3 \\ 3 & 4\end{array}\right)$
in Linear Algebra by Expert (2.4k points) | 5 views

Please log in or register to answer this question.

Welcome to Rational Solver, where you can ask questions and receive answers from other members of the community.
49 questions
8 answers
1 comment
1,737 users