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adioabiola

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 =

\(\binom{a \: \: \: b}{c \: \: \: d}\)

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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