Matrix
Determinant Calculation Determinant of 2x2 matrix
A=[abcd]
$|A| = det(A) = ad -bc$
Determinant of 3x3 matrix, also called expansion of the determinant by first row. Link.
B=[abcdefghk]
$|B| = det(B) = a|efhk| -b|dfgk| +c|degh|$……