Cramer's Law Determinant Calculator
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Δ = | ΔX = | ΔY = | ΔZ = | ||||
X = | Y = | Z = |
a1x + b1y + c1z = d1
a2x + b2y + c2z = d2
a3x + b3y + c3z = d3
For example:
x1+x2-2x3=-3
2x1+x2-x3=1
x1-x2+3x3=8
Untie: D = 1 1 -2 2 1 -1 1 -1 3 = 1 D1 = -3 1 -2 1 1 -1 8 -1 3 = 1 D2 = 1 -3 -2 2 1 -1 1 8 3 = 2 D3 = 1 1 -3 2 1 1 1 -1 8 = 3 So x1 = D1/D = 1 x2 = D2/D = 2 x3 = D3/D = 3