How to create a custom Matrix following a set of parameters

Hi, i'd like some help creating a matrix following these rules:

The matrix should have "n" number of rows and "n+1" number of colums.

now depending on the elements position in the matrix i'd like certain outputs.

I'll call position in the row "i" and position in column "j"

if i=j, the element should be 2.

if |i-j| = 1, the element should be -1

everything else = 0.

Answer 1

[Matt J]

n=5;
c=[2,-1,zeros(1,n-2)];
r=[c,0];

A=toeplitz(c,r)

A = 5×6

2 -1 0 0 0 0 -1 2 -1 0 0 0 0 -1 2 -1 0 0 0 0 -1 2 -1 0 0 0 0 -1 2 -1

[Razvan Alexandru]

thank you for the quick response!

Answer 2

[Matt J]

n=5;
A=-diff(eye(n+2),2,1);
A(:,1)=[]

A = 5×6

2 -1 0 0 0 0 -1 2 -1 0 0 0 0 -1 2 -1 0 0 0 0 -1 2 -1 0 0 0 0 -1 2 -1