Create an alternating matrix

Hello. I am looking to create a 1xn matrix where I would enter a max value and a step size for the vector where each value alternates sign. For example I would enter a max value of 20 and a step size of 5 and the result would produce the following matrix;

[0 5 -5 10 -10 15 -15 20 -20]

Thank you in advance.

Answer 1

[DGM]

There are many ways. Here's one.

% parameters
st = 5;
ev = 20;

A = [0 kron(st:st:ev,[1 -1])]

A = 1×9

0 5 -5 10 -10 15 -15 20 -20

Here's another:

B = repmat(0:st:ev,[2 1]).*[1; -1];
B = B(2:end)

B = 1×9

0 5 -5 10 -10 15 -15 20 -20

Here's another:

C = [0 repelem(st:st:ev,2)];
C(3:2:end) = -C(3:2:end)

C = 1×9

0 5 -5 10 -10 15 -15 20 -20

[John Carroll]

This works prefectly. I was completely unaware of the kron command. Thank you.

Answer 2

[VBBV]

maxV = 20;
stepS = 5;
I = zeros(1,2*(maxV/stepS)+1);
I1 = 0:stepS:maxV;
I2 = -I1(2:end);
I(1:2:end) = I1;
I(2:2:end) = I2;
I

I = 1×9

0 -5 5 -10 10 -15 15 -20 20

[John Carroll]

This works great as well. Thank you.