Analytic geometry
Matrices
Determinants, trace, norms and matrix product elements.
Analytic geometry
2×2 matrix determinant
det A = ad − bc→Analytic geometry3×3 matrix determinant
det A = a(ei−fh)−b(di−fg)+c(dh−eg)→Analytic geometry3×3 matrix trace
tr A = a₁₁+a₂₂+a₃₃→Analytic geometry2×2 Frobenius norm
||A||F = √(a²+b²+c²+d²)→Analytic geometryMatrix product element c11
c₁₁ = a₁₁b₁₁+a₁₂b₂₁→Analytic geometryInverse matrix element a11
(A⁻¹)₁₁ = d/(ad−bc)→Analytic geometryMatrix determinant 2×2…5×5
det(A)→Analytic geometryMatrix transpose
Aᵀ→Analytic geometryMatrix rank
rank(A)→Analytic geometryMatrix trace 2×2…5×5
tr(A)→Analytic geometryMatrix addition
A + B→Analytic geometryMatrix subtraction
A − B→Analytic geometryMatrix multiplication
A × B→