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The formula for the determinant is $ad - bc$. This scalar value is computed by multiplying the diagonal elements ($a$ and $d$) and subtracting the product of the off-diagonal elements ($b$ and $c$).

Conditions: The matrix is 2x2.; The rows are specified as $(a,b)$ and $(c,d)$.; The entries $a,b,c,d$ are real numbers.

The formula for the determinant is $ad - bc$. This scalar value is computed by multiplying the diagonal elements ($a$ and $d$) and subtracting the product of the off-diagonal elements ($b$ and $c$).

Conditions: The matrix is 2x2.; The rows are specified as $(a,b)$ and $(c,d)$.; The entries $a,b,c,d$ are real numbers.