how to find value in matrix based on specified location

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Hi:
I have a matrix and I want to cite the value at specified locaiton, the inputs is not specified row or colume, but the row-id and colume-id, for example:
A=[1,2,3,4;
5,6,7,8;
9,10,11,12;
13,14,15,16];
I want the cite the value at row=2, column=3, and row=3, colume=3
I tried command:
A([2,3],[3,3])
ans = 2×2
7 7 11 11
the output is a 2*2 matrix, instead of 7, 11.
is there anyway to make the output to be 7 and 11?
Thanks!
Yu

Accepted Answer

DGM
DGM on 17 Dec 2022
Edited: DGM on 17 Dec 2022
When you select A([2,3],[3,3]), you're selecting four points. It's easier to understand in this case:
A = [1,2,3,4;
5,6,7,8;
9,10,11,12;
13,14,15,16];
A([1 4],[1 4])
ans = 2×2
1 4 13 16
Note that you're selecting the intersection of the specified rows and columns. Since there are two each, there are four elements being selected.
The way around this ambiguity is to use linear indexing
A = [1,2,3,4;
5,6,7,8;
9,10,11,12;
13,14,15,16];
% convert to linear index
idx = sub2ind(size(A),[2,3],[3,3]);
% index into A
A(idx)
ans = 1×2
7 11

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