extending a set of rows from matrix using calculated vector of start and end indexes

How can I calculate start and end indices "startAndEndIndex" and extract all rows of test matrix "testMatrix" between the the start and index?

Example is the 100x100 matrix below and I have calculated the start index "startindex" (here [1 1 1 5 5 5 9 9 9 13 13 13 17 17 17]) and the end index is "startIndex+3" (here [4 4 4 8 8 8 12 12 12 16 16 16 20 20 20]). So the matrix containign start and end is "startAndEndIndex" matrix below.

What I want is to extract rows 1:4 of "testMatrix" for the first 3 rows in "startAndEndIndex", rows 5:8 of "testMatrix" for the second 3 rows in "startAndEndIndex" and so forth. The results would be in assigned to a new matrix (here it would be a 15 row and 3 column matrix).

startAndEndIndex =
1,4
1,4
1,4
5,8
5,8
5,8
9,12
9, 12
9, 12
13, 16
13, 16
13, 16
17, 20
17, 20
17, 20

%sample code
testMatrix = magic(100);
indexStartt_matrix =repmat(1+4*(0:5-1), 3, 1);
startindex = indexStartt_matrix(:);
startAndEndIndex=[startindex,startindex+3];
startAndEndIndex

[David Hill]

I have no idea what you want from reading your description. Please provide an example of each output.

Answer 1

[Bruno Luong]

testMatrix = magic(100);
indexStartt_matrix =repmat(1+4*(0:5-1), 3, 1);
startindex = indexStartt_matrix(:);
startAndEndIndex=[startindex,startindex+3];

col=arrayfun(@(k) (startAndEndIndex(k,1):startAndEndIndex(k,2))', ...
    1:size(startAndEndIndex,1),'unif',0);
col = cell2mat(col);
row=repmat(1:size(col,2),size(col,1),1);
extractMatrix = testMatrix(sub2ind(size(testMatrix),row,col)).'