soluzione sistema lineare con Sarrus

ds

dx

dy

dz

dx/ds

dy/ds

modificare coefficienti usando slider

calcolare determinanti
ds... a
dx ...b
dy ...c
dz ...d
calcolare
 x = dx/ds ....e
y  = dy/ds ....f
z  = dz/ds ....g

7x + 8y + z = -3
8x + 7y + z =  6
6x + 6y + z =  3

impossibile ds = 0

a1 = 1 (slider from -10 to 10, step 1)
b1 = 2 (slider from -10 to 10, step 1)
c1 = 3 (slider from -10 to 10, step 1)
b2 = 4 (slider from -10 to 10, step 1)
c2 = 6 (slider from -10 to 10, step 1)
a3 = 3 (slider from -10 to 10, step 1)
b3 = 6 (slider from -10 to 10, step 1)
c3 = 9 (slider from -10 to 10, step 1)
a2 = 2 (slider from -10 to 10, step 1)
d1 = 1 (slider from -10 to 10, step 1)
d2 = 7 (slider from -10 to 10, step 1)
d3 = 3 (slider from -10 to 10, step 1)
a = Determinant({{a1, b1, c1}, {a2, b2, c2}, {a3, b3, c3}})
b = Determinant({{d1, b1, c1}, {d2, b2, c2}, {d3, b3, c3}})
c = Determinant({{a1, d1, c1}, {a2, d2, c2}, {a3, d3, c3}})
d = Determinant({{a1, b1, d1}, {a2, b2, d2}, {a3, b3, d3}})
e: b / a
f: c / a
g: d / a