Final answer:
The set of all matrices of a specific form is called a special linear group and is denoted as SL(n, R).
Step-by-step explanation:
The set of all matrices of the form is called a 'special linear group'.
It is denoted as SL(n, R), where n is the size of the matrices and R represents the real numbers.
For example, SL(2, R) represents the set of all 2x2 matrices with a determinant of 1.