Using only "eye" and "zeros" ...

Hi,

I'm doing some unsolved exercises I've been assigned and there is this one that I can't seem to find the answer to (teacher is unavailable so I can't ask him).

I need to obtain the following matrix by only adding matrices made with the commands "eye" and "zeros". That's all it says. This is the matrix I need to obtain:

2 1 0
0 2 1
0 0 2

And needs to be for NxN (any square dimension). Is this really possible? Thanks.

Answer 1

[the cyclist]

Definitely possible.

Since this is a homework exercise, I'll just give you one small hint, which might get you unstuck.

To access a portion of a matrix (for example just the upper left part), you can use this syntax:

A = zeros(5,5);
A(1:3,1:3) = magic(3);