Matrix problem with pattern in rows and columns

So I want a matrix that looks like this:

[a^1, (a+1)^2, (a+2)^3....;(a+2)^1, (a+3)^2,(a+4)^3....;(a+4)^1, (a+5)^2,(a+6)^3....;(a+6)^1, (a+7)^2,(a+8)^3...]

all the way to the power of 15 for each row (15 rows) and 5 columns with this pattern. Also, I cannot type out the exact numbers explicitly. I tried looking for resources but wasn't able to find something to help me with this. Help would be really appreciated thank you in advance.

Answer 1

[Benjamin Thompson]

The brute force way is:

a = 2;

M = zeros(15,5);

M(1, 1) = a;

M(1, 2) = (a+1)^2;

M(1,3) = and so on...

M(2, 1) = (a+2)^3;

and so on...

You can also square just the second column of a matrix if you wish using this command:

M(:,2) = M(:,2).^2

And if you construct a 15x5 matrix with the integers you would like to add to a:

N = 1:(15*5);

N = reshape(N,15,5)

Then you can add a to all elements of that matrix like this:

M = ones(15,5)*a + N

I cannot fully understand pattern of the contents of the 15x5 matrix to complete all of it. Hopefully these examples are helpful.