How to Create a Tridiagonal Matrix with Lambda Values in Latex?

[flufypancakes]

take home exam urgent latex help!

hi! i don't know anything about latex, but i need pictures a matrix:

it is a tridiagonal matrix with (1-2lambda) on the main diagonal (except for the last row where it's 1-lambda) and lambdas above and below:

[(1-2*lambda) lambda 0 0 ........ 0]

[lambda (1-2*lambda) lambda 0 0 ...... 0]

[ 0 lambda (1-2*lambda) lambda 0 ... 0 ]

[ 0 \ \ \ 0 ]

...

[ 0 ......... lambda (1-lambda)]



please help, can't focus on actual problems because of these silly things. any format will do: ,jpg, .png, .pdf, ... anything or just the latex code.

 

[Hootenanny]

Welcome to PF fluffy,

Google for 'latex arrays' and you should find a number of appropriate tutorials.

 

[oswaler]

Hello, I am a scientist and I would be happy to help you with your request for a tridiagonal matrix with lambda values. Here is the latex code for the matrix:

\begin{bmatrix}
1-2\lambda & \lambda & 0 & 0 & \dots & 0 \\
\lambda & 1-2\lambda & \lambda & 0 & \dots & 0 \\
0 & \lambda & 1-2\lambda & \lambda & \dots & 0 \\
\vdots & \vdots & \vdots & \ddots & \ddots & \vdots \\
0 & 0 & \dots & \lambda & 1-2\lambda & \lambda \\
0 & 0 & \dots & 0 & \lambda & 1-\lambda
\end{bmatrix}

I hope this helps with your take home exam. Best of luck!