# Extract lines of a three dimensional matrix using an array of indices and NO for-loop

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Thomas on 4 Mar 2020
Commented: Thomas on 5 Mar 2020
I have a three dimensional 10x5x2 array. Example:
r(:,:,1) = [1 0 2 1 1; 2 0 3 1 1; 3 0 4 1 1; 4 0 1 1 -1; 5 0 -1 1 1; 1 1 3 1 -1; 2 1 2 1 1; 3 1 5 0 -1; 4 1 4 1 -1; 5 1 1 0 -1];
r(:,:,2) = [1 0 2 1 -1;2 0 3 1 1;3 0 1 1 -1;4 0 1 1 -1;5 0 -1 1 1;1 1 1 1 -1;2 1 2 1 1;3 1 4 1 1;4 1 5 1 1;5 1 3 0 1]
and logical vector m like for instance: m =
10×2 logical array
1 0
0 0
0 1
0 0
0 0
0 0
0 0
0 0
0 0
0 0
how can I access those lines of r, when m(:,k) is used as index vector of r(:,:,k). In this example the result should be line 1 of r(:,:,1) and line 3 of r(:,:,2) or
1 0 2 1 1
3 0 1 1 -1
important: for performance reasons I want to do it without a for-loop.
Thanks for anyone's help!

BobH on 4 Mar 2020
Use column 1 of m to select rows of r in the first
>> r( m(:,1), :,1)
ans =
1 0 2 1 1
Use column 2 of m to select rows of r in the other
>> r( m(:,2), :,2)
ans =
3 0 1 1 -1
Thomas on 5 Mar 2020
Thank you very much! Works!