How solve this problem in Matlab

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Yeachan Choi
Yeachan Choi 2022-3-24
回答： David Goodmanson 2022-3-25
How can I write a program in a script file that creates and 𝑛 × 𝑚 matrix with elements that have the following values. The value of each element in the first row is the number of the column. The value of each element in the first column is the number of the row, The rest of the elements each has a value equal to the sum of the element above it and the element to the left.
  1 个评论
Yeachan Choi
Yeachan Choi 2022-3-24
编辑：Yeachan Choi 2022-3-24
First, I solved it with this code
n = input('Choose your number n : ')
m = input('Choose your number m : '); % n, m should be a positive integer
V = zeros(n, m);
V(1,:) = 1:m; V(:,1) = 1:n;
for a = 2:n;
for b = 2:m;
V(a,b) = V(a-1,b) + V(a,b-1)
end
end
but This code made me nervous, because there are many result of matrix in command file.

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采纳的回答

Davide Masiello
Davide Masiello 2022-3-24
编辑：Davide Masiello 2022-3-24
Ran in:
Note that your code displays a lot of matrixes because you haven't placed a semicolon when defining V. You can fix it easily
clear,clc
n = 5;
m = 6;
V = zeros(n,m);
V(1,:) = 1:m; V(:,1) = 1:n;
for a = 2:n;
for b = 2:m;
V(a,b) = V(a-1,b) + V(a,b-1);
end
end
V
V = 5×6
1 2 3 4 5 6 2 4 7 11 16 22 3 7 14 25 41 63 4 11 25 50 91 154 5 16 41 91 182 336
For the rest, I believe your code works correctly.

更多回答（1 个）

David Goodmanson
David Goodmanson 2022-3-25
Hi Davide,
here is a method that uses one for loop instead of two:
n = 5
m = 6
V = zeros(n,m);
V(:,1) = 1:n;
for k = 2:m
V(:,k) = cumsum(V(:,k-1)) +1;
end
V
V =
1 2 3 4 5 6
2 4 7 11 16 22
3 7 14 25 41 63
4 11 25 50 91 154
5 16 41 91 182 336

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