The determinant of a 2x2 matrix is calculated as follows:
$$
\text{det}(A) = ad - bc
$$
where a, b, c, and d are the elements of the matrix. For the given matrix, a = 1, b = -3, c = -2, and d = 5. So, the determinant is:
$$
\text{det}(A) = (1)(5) - (-2)(-3) = 5 -
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