12. Diagonalization and Dynamical Systems

Similarity — Quiz

Test your understanding of similarity with 5 practice questions.

Practice Questions

Question 1

Two matrices $A$ and $B$ are similar if there exists an invertible matrix $P$ such that what equation holds?

Question 2

What is the best interpretation of similar matrices?

Question 3

If a matrix $A$ is diagonalizable, then $A$ is similar to a ____ matrix.

Question 4

Similarity is an equivalence relation because it is reflexive, symmetric, and ____.

Question 5

In the formula $B = P^{-1}AP$, what must the matrix $P$ be?