How to expand a row of values into a matrix, such that each new value is equal to the value above it plus one?

What I'm asking for is a lot simpler to show than to explain. If I have a vector such as, for example:

[5 10 15]

ans = 1x3

5 10 15

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How can I expand the vector for any integer length n (for this example let's say n=3) into a matrix such that:

[5 10 15; 6 11 16; 7 12 17]

ans = 3x3

5 10 15 6 11 16 7 12 17

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I know there's a brute force solution with for-loops, but I'm trying to avoid for-loops where I can and stick to vectorization for efficiency. Is there anything I can use?

Answer 1

[Voss]

v = [5 10 15];
n = 3;

m = v+(0:n-1).'

m = 3x3

5 10 15 6 11 16 7 12 17

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Answer 2

[Umar]

Hi Marco,

By using bsxfun with element-wise addition and transpose to adjust dimensions, you can efficiently expand the vector into a matrix without resorting to for-loops, ensuring a more vectorized and optimized solution.

For more information regarding bsxfun, please refer to

https://www.mathworks.com/help/matlab/ref/bsxfun.html

Hope that answers your question.