![linear algebra - How to find an invertible matrix $P$ given $A$ such that $A=P^tXP$ - Mathematics Stack Exchange linear algebra - How to find an invertible matrix $P$ given $A$ such that $A=P^tXP$ - Mathematics Stack Exchange](https://i.stack.imgur.com/8N8Of.png)
linear algebra - How to find an invertible matrix $P$ given $A$ such that $A=P^tXP$ - Mathematics Stack Exchange
![SOLVED:Property 2 of Theorem 2.8: If A is an invertible matrix and k is a positive integer, then (A^k)^-1=A^-1 A^-1 ⋯A^-1k factors =(A^-1)^k SOLVED:Property 2 of Theorem 2.8: If A is an invertible matrix and k is a positive integer, then (A^k)^-1=A^-1 A^-1 ⋯A^-1k factors =(A^-1)^k](https://cdn.numerade.com/previews/29c33e0e-2626-4d47-a205-3b13a2937ab0.gif)
SOLVED:Property 2 of Theorem 2.8: If A is an invertible matrix and k is a positive integer, then (A^k)^-1=A^-1 A^-1 ⋯A^-1k factors =(A^-1)^k
![SOLVED: Find an invertible matrix P and a matrix C of the form such that A = has the form A=PCP - The eigenvalues of A are 2 - i and 2 + SOLVED: Find an invertible matrix P and a matrix C of the form such that A = has the form A=PCP - The eigenvalues of A are 2 - i and 2 +](https://cdn.numerade.com/ask_images/4b71569ea35941a292662611419f4b9c.jpg)