Cantidad de ecuaciones

Sistema Compatible Determinado

Sistema Compatible Indeterminado

Sistema Incompatible

Rectas secantes

Rectas coincidentes

Rectas paralelas

Matriz escalonada

Gauss

a_{11} = -1 (slider from -5 to 5, step 1)
a_{12} = 2 (slider from -5 to 5, step 1)
a_{13} = 3 (slider from -5 to 5, step 0.5)
b_1 = 1 (slider from -5 to 5, step 1)
a: (a_{11} * x) + (a_{12} * y) = b_1
a_{21} = 2 (slider from -5 to 5, step 1)
a_{22} = 1 (slider from -5 to 5, step 1)
a_{23} = -2.5 (slider from -5 to 5, step 0.5)
b_2 = 3 (slider from -5 to 5, step 1)
a_{31} = 2 (slider from -5 to 5, step 0.5)
a_{32} = 1 (slider from -5 to 5, step 0.5)
a_{33} = 1 (slider from -5 to 5, step 0.5)
b_3 = 1 (slider from -5 to 5, step 0.5)
b: (a_{21} * x) + (a_{22} * y) = b_2
D10: {1, 2, 3}
i = SelectedIndex(D10)
A1: a_{11}
B1: a_{12}
A2: a_{21}
B2: a_{22}
C1: b_1
C2: b_2
matriz1: {{A1, B1, C1}, {A2, B2, C2}}
A4: A1
B4: B1
C4: C1
A5: (A1 * $A2) - (A2 * $A1)
B5: (B1 * $A2) - (B2 * $A1)
C5: (C1 * $A2) - (C2 * $A1)
matriz2: {{A4, B4, C4}, {A5, B5, C5}}
matriz0: {{A1, B1}, {A2, B2}}
texto5: "M=" + (LaTeX[matriz0]) + ""
texto4: "M'=" + (LaTeX[matriz1]) + ""
rm0 = MatrixRank(matriz0)
rm1 = MatrixRank(matriz1)
texto6 = If(rm0 ≟ 1 ∧ rm1 ≟ 1, texto62, If[rm0 ≟ 2 ∧ rm1 ≟ 2, texto61, texto63])
texto7 = If(rm0 ≟ 1 ∧ rm1 ≟ 1, texto72, If[rm0 ≟ 2 ∧ rm1 ≟ 2, texto71, texto73])
A = (-1.4, -1.4)
B = (0.12, -2.08)
texto8: "Rangos:
rg(M)=" + rm0 + "
rg(M')= " + rm1 + ""
texto11: "M'≈" + (LaTeX[matriz2]) + ""
texto12: "" + a_{11} + ""
texto13: "" + a_{12} + ""
texto14: "" + b_1 + ""
texto1: "\left( " + (LaTeX[a_{11}]) + "  \right) x+\left( " + (LaTeX[a_{12}]) + "  \right) y =" + (LaTeX[b_1]) + ""
texto2: "\left(  " + (LaTeX[a_{21}]) + "  \right) x+\left(  " + (LaTeX[a_{22}]) + "  \right) y = " + (LaTeX[b_2]) + ""
texto10: "
F_{2} → \left( " + (LaTeX[A1]) + "  \right)  · F_{2} - \left( " + (LaTeX[A2]) + "  \right)  · F_{1}"
C = Intersect(a, b)