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To obtain access to a specific element of an array or structure within a Matlab matrix using a variable's value, you can use dynamic field or index references.

For accessing structure fields, you can use the dot notation and variable name as shown below:

% creating a structure
s.field1 = 10;
s.field2 = 20;

% accessing structure fields using variable
fieldName = 'field1';
fieldValue = s.(fieldName); % fieldValue will be 10

For accessing array elements, you can use the parentheses notation and variable value as shown below:

% creating an array
arr = [10, 20, 30];

% accessing array elements using variable
index = 2;
element = arr(index); % element will be 20

You can also use a combination of both notations to access elements from a nested array or structure.