The procedure for coming up with numbers for the 2x2 matrix whose determinant is 13 are as explained.
Determinant of 2×2 matrix
If we have a 2×2 matrix A of the form;
A =
[tex] \binom{a \: \: \: b}{c \: \: \: d} [/tex]
The determinant of the matrix is;
|A| = (a.d) - (b.c)
Hence, to come up with numbers for a, b, c, and d, we must ensure; (a.d) - (b.c)
Therefore, if a = 3, d = 15, b = 2, and v = 1.
Ultimately, |A| = (3×5) - (2×1) = 13
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