## Diagonalize a 2 by 2 Matrix if Diagonalizable

In this video I show how to calculate the eigenvalues and eigenvectors of a 2x2 matrix A, and show how to find a diagonal matrix D and an invertible matrix P such that A =

Get Assignment

Do mathematic

Homework is a necessary part of school that helps students review and practice what they have learned in class.

Immediate Delivery

If you need your order delivered immediately, we can accommodate your request.

## Is it true that a 2x2 matrix is diagonalizable iff it has two distinct

Since the 2 × 2 matrix A has two distinct eigenvalues, it is diagonalizable. To find the invertible matrix S, we need eigenvectors. Let us find the eigenvectors corresponding to the

632 Math Consultants
75% Recurring customers
51071+ Delivered assignments

## What do our people say?

So far I have only had the app for one day, with this however, no money spent to show the work, this is a really good app, I have been struggling in math, and whenever I have late work, this app helps me! Plus there is barely any ads! But you should really add a Erueka Math book thing for 1st, 2nd, 3rd, 4th, 5th, 6th grade, and more.

James Winebrenner

After I got the hang of it, it was truly amazing, math app has helped me tremendously. Ƒ Great app, 5 Stars ¤©. If you have any math problem that doesn't require Einstein brain, this app will do it in a second AND explain the results and the process to get there.

James Tucker

Definitely did not use this to cheat on test, over all the app is great and helps with whatever you need. My math teacher always gives us really useless homework that takes hours to do by hand, makes you write down every step and it just takes forever. I can't explain how good this app is, all the answers I got from this app I redid and got the same answers.

Carl Michael

## Shortcuts to diagonalize a 2×2 matrix

Diagonalize the Upper Triangular Matrix and Find the Power of the Matrix Consider the $2\times 2$ complex matrix $A=\begin{bmatrix} a & b-a\\ 0& b \end{bmatrix}.$ (a) Find the eigenvalues

## Diagonalization Process & Examples

Diagonalisation of a 2x2 matrix leading to the diagonal factorisation of a 2x2 matrix. Using the diagonal factorisation of a 2x2 matrix to find a power of the matrix.