Analytic geometry

Linear systems

Determinants and solutions of 2×2 systems and 3×3 components.

Analytic geometry

2×2 system determinant

D = ad−bc→
Analytic geometry

Solve x in a 2×2 system

x = (ed−bf)/(ad−bc)→
Analytic geometry

Solve y in a 2×2 system

y = (af−ec)/(ad−bc)→
Analytic geometry

Solve x in a 3×3 system

x = det Aₓ / det A→
Analytic geometry

Solve y in a 3×3 system

y = det Aᵧ / det A→
Analytic geometry

Linear equation residual

r = ax+by−c→
Analytic geometry

Linear system 2×2…5×5

A·x = b→