linear algebra - What does $A = PDP^ {-1}$ really represent ...
Jun 4, 2023 · $$A =PDP^ {-1}$$ I'm kind of new to the topic, we find $P$ which is columns representing a basis for $A$. But step by step, what does $PD$, then $PDP^ {-1}$ say about the process?
Matrix diagonalization. Is $A = PDP^ {-1} = P^ {-1}DP$?
Sep 6, 2019 · You don't even have to know what an eigenvalue is in order define diagonalization of a square matrix $A$: it is a diagonal matrix $D$ such that, for some square invertible matrix $P$ you …
How do you diagonalize this matrix and find P and D such that A
How do you diagonalize this matrix and find P and D such that A = PDP^-1? Ask Question Asked 11 years, 4 months ago Modified 6 years, 10 months ago
Matrix diagonalization - find $P$ and $D$ such that $A=PDP^{−1}$
Jun 17, 2020 · This might help get you in the right direction: It's worth double checking to make sure you determined all the eigenvalues. With an $4 \times 4$ matrix, I believe you should have 4 …
D= P^ {-1} AP$ mean in simple terms? - Mathematics Stack Exchange
May 5, 2020 · I know how determine whether or not a matrix is diagonalizable, but after that the question will usually ask me to find an invertible matrix P and a diagonal matrix D such that $$ D= P^{-1} …
linear algebra - If $A=PDP^T$, does $P$ have to be orthogonal ...
Oct 16, 2018 · A matrix A is called orthogonally diagonalizable if $A=PDP^ {-1}$ and $A=PDP^ {T}$, where $D$ is diagonal. Therefore, $P^ {-1}=P^T$ and thus $P$ is an orthogonal matrix.
matrices - Linear algebra - diagonizable matrix: find matrix P and D ...
Jun 16, 2020 · Linear algebra - diagonizable matrix: find matrix P and D such that A = PDP^-1 Ask Question Asked 5 years, 4 months ago Modified 5 years, 4 months ago
How to rewrite matrix formula for Diagonalizable matrix $A=PDP^{-1}$
Jan 10, 2019 · I am working on an old exam containing a question about Diagonalizable matrix, I am quite confident about the subject overall but there is one simple thing that bothers me, a lot! We are …
Understanding the formula for a diagonal matrix $A = P^{-1}DP$.
I'm trying to understand the procedure for finding the powers of a matrix using the diagonal relation $A^n = P^ {-1}D^nP$. Here's what I understand so far. We find ...
Is there a way to compute the exponential of a PDP-1 matrix?
Feb 8, 2019 · Is there a way to compute the exponential of a PDP-1 matrix? Ask Question Asked 6 years, 9 months ago Modified 6 years, 9 months ago