(  ) x + (  ) + (  ) z = 
(  ) x + (  ) + (  ) z = 
(  ) x + (  ) + (  ) z = 

¿Cuál será la primera ecuación?

F_{2 }·  \;  \; \;  \;  \;  \;  \;  \;  \; - \; \;  \;  \;  F_{1} · 

F_{3 }·  \;  \; \;  \;  \;  \;  \;  \;  \; - \;  \;  \;  \;  F_{1} · 

F_{3 }·  \;  \; \;  \;  \;  \;  \;  \;  \;-  \;  \;  \;  \;  F_{2} · 

 ¿Hacer ceros en C_{1}?

SI

NO

NO

SI

¿Hacer ceros en C_{2}?

Comenzar

¿Despejar incógnitas?

SI

NO

SI

NO

¿Cambia orden de filas?

SI

NO

SI

NO

SI

NO

SI

NO

Coeficientes del sistema

Ecuaciones y matiz ampliada

Ordena las filas

Ceros en  C_{1}

Ceros en C_{2} (matriz escalonada)

Despejar

z

y

x

a_{11}

a_{12}

a_{13}

a_{21}

a_{22}

a_{23}

a_{31}

a_{32}

a_{33}

b_1

b_2

b_3

Ecuaciones modificadas

Coeficientes del sistema

Introducción manual

Introducción manual

Generación aleatoria

Generación aleatoria

a = 8 (slider from 1 to 20, step 1)
D3 = -7
D8 = Random((-a), a)
o = 0 (slider from 0 to 1, step 1)
C3 = -2
C8 = Random((-a), a)
A3 = 1
A8 = Random((-a), a)
B3 = 3
B8 = Random((-a), a)
D2: -3
D7 = Random((-a), a)
C2: 1
C7 = Random((-a), a)
A2: 2
A7 = Random((-a), a)
B2: -3
B7 = Random((-a), a)
D1 = 6
D6 = Random((-a), a)
C1 = 3
C6 = Random((-a), a)
B1 = 0
B6 = Random((-a), a)
A1 = 3
H12 = 0
G12 = 1
F8 = 1
G8 = 0
G2 = If(o ≟ 0, B2, B7)
G3 = If(o ≟ 0, B3, B8)
n = 1 (slider from 1 to 3, step 1)
G1 = If(o ≟ 0, B1, B6)
G7 = If(n ≟ 3, G1, G3)
G6 = If(n ≟ 2, G1, G2)
G5 = If(n ≟ 1, G1, If[n ≟ 2, G2, G3])
G10: (G6 * $F$8) - (G5 * $G$8)
H8 = 1
I8 = 0
G11: (G7 * $H$8) - (G5 * $I$8)
F3 = If(o ≟ 0, A3, A8)
F2 = If(o ≟ 0, A2, A7)
A6 = Random((-a), a)
F1 = If(o ≟ 0, A1, A6)
F7 = If(n ≟ 3, F1, F3)
F5 = If(n ≟ 1, F1, If[n ≟ 2, F2, F3])
F6 = If(n ≟ 2, F1, F2)
H1 = If(o ≟ 0, C1, C6)
H2 = If(o ≟ 0, C2, C7)
H3 = If(o ≟ 0, C3, C8)
I1 = If(o ≟ 0, D1, D6)
I2 = If(o ≟ 0, D2, D7)
I3 = If(o ≟ 0, D3, D8)
H5 = If(n ≟ 1, H1, If[n ≟ 2, H2, H3])
I5 = If(n ≟ 1, I1, If[n ≟ 2, I2, I3])
H6 = If(n ≟ 2, H1, H2)
I6 = If(n ≟ 2, I1, I2)
H7 = If(n ≟ 3, H1, H3)
I7 = If(n ≟ 3, I1, I3)
F9: F5
H10: (H6 * $F$8) - (H5 * $G$8)
I10: (I6 * $F$8) - (I5 * $G$8)
H11: (H7 * $H$8) - (H5 * $I$8)
I11: (I7 * $H$8) - (I5 * $I$8)
F13: F9
G9: G5
G13: G9
H9: H5
H13: H9
I9: I5
I13: I9
F10: (F6 * $F$8) - (F5 * $G$8)
F14: F10
G14: G10
H14: H10
I14: I10
H15: (H11 * $G$12) - (H10 * $H12)
I15: (I11 * $G$12) - (I10 * $H12)
F11: (F7 * $H$8) - (F5 * $I$8)
F15: F11
texto5b: "( " + F9 + " ) x + ( " + G9 + " ) y + ( " + H9 + " ) z = " + I9 + "
( " + F10 + " ) x + ( " + G10 + " ) y + ( " + H10 + " ) z = " + I10 + "
( " + F11 + " ) x + ( " + G11 + " ) y + ( " + H11 + " ) z = " + I11 + ""
texto5: "( " + F1 + " ) x + ( " + G1 + " ) y + ( " + H1 + " ) z = " + I1 + "
( " + F2 + " ) x + ( " + G2 + " ) y + ( " + H2 + " ) z = " + I2 + "
( " + F3 + " ) x + ( " + G3 + " ) y + ( " + H3 + " ) z = " + I3 + ""
G15: (G11 * $G$12) - (G10 * $H12)
CasillaDeEntradat1 = Textfield(F8)
CasillaDeEntradat2 = Textfield(G8)
CasillaDeEntradat3 = Textfield(H8)
CasillaDeEntradat4 = Textfield(I8)
CasillaDeEntradat5 = Textfield(G12)
CasillaDeEntradat6 = Textfield(H12)
F20: I15 / H15
F19: (I14 - (F20 * H14)) / G14
F18: (I13 - (H13 * F20) - (G13 * F19)) / F13
texto5a: "( " + (LaTeX[F5]) + " ) x + ( " + (LaTeX[G5]) + " ) y + ( " + (LaTeX[H5]) + " ) z = " + (LaTeX[I5]) + "
( " + (LaTeX[F6]) + " ) x + ( " + (LaTeX[G6]) + " ) y + ( " + (LaTeX[H6]) + " ) z = " + (LaTeX[I6]) + "
( " + (LaTeX[F7]) + " ) x + ( " + (LaTeX[G7]) + " ) y + ( " + (LaTeX[H7]) + " ) z = " + (LaTeX[I7]) + ""
i = 1 (slider from 0 to 1, step 1)
j = 1 (slider from 0 to 1, step 1)
k = 1 (slider from 0 to 1, step 1)
n1 = 1 (slider from 0 to 1, step 1)
n2 = 1 (slider from 0 to 1, step 1)
n3 = 1 (slider from 0 to 1, step 1)
n4 = 1 (slider from 0 to 1, step 1)
n5 = 1 (slider from 1 to 4, step 1)
CasillaDeEntrada11 = Textfield(A1)
CasillaDeEntrada12 = Textfield(B1)
CasillaDeEntrada13 = Textfield(C1)
CasillaDeEntrada21 = Textfield(A2)
CasillaDeEntrada22 = Textfield(B2)
CasillaDeEntrada23 = Textfield(C2)
CasillaDeEntrada31 = Textfield(A3)
CasillaDeEntrada32 = Textfield(B3)
CasillaDeEntrada33 = Textfield(C3)
CasillaDeEntradab1 = Textfield(D1)
CasillaDeEntradab2 = Textfield(D2)
CasillaDeEntradab3 = Textfield(D3)
matriz1: {{F1, G1, H1, I1}, {F2, G2, H2, I2}, {F3, G3, H3, I3}}
matriz2: {{F5, G5, H5, I5}, {F6, G6, H6, I6}, {F7, G7, H7, I7}}
matriz3: {{F9, G9, H9, I9}, {F10, G10, H10, I10}, {F11, G11, H11, I11}}
matriz4: {{F13, G13, H13, I13}, {F14, G14, H14, I14}, {F15, G15, H15, I15}}
texto1: "M=" + (LaTeX[matriz1]) + ""
texto5aa: "M≈" + (LaTeX[matriz2]) + ""
texto5bb: "M≈" + (LaTeX[matriz3]) + ""
texto4: "M≈" + (LaTeX[matriz4]) + ""
texto5d: "z =\frac{" + (LaTeX[I15]) + "}{" + (LaTeX[H15]) + "} \;  ;  \; z = " + (LaTeX[F20]) + ""
texto5c: "( " + F13 + " ) x + ( " + G13 + " ) y + ( " + H13 + " ) z = " + I13 + "
              ( " + G14 + " ) y + ( " + H14 + " ) z = " + I14 + "
                             ( " + H15 + " ) z = " + I15 + ""
texto5e: "y=\frac{" + (LaTeX[I14]) + "-\left( " + (LaTeX[H14]) + "  \right)·\left(" + (LaTeX[F20]) + " \right)  }{" + (LaTeX[G14]) + "}=" + (LaTeX[F19]) + ""
texto5f: "x=\frac{ " + (LaTeX[I13]) + "-\left( " + (LaTeX[G13]) + "   \right)·\left( " + (LaTeX[F19]) + " \right) -\left(  " + (LaTeX[H13]) + "  \right)·\left(" + (LaTeX[F20]) + "  \right)}{ " + (LaTeX[F13]) + "}= " + (LaTeX[F18]) + ""
texto6: "Los coeficientes se generan aleatoriamente
con valores entre -" + a + " y " + a + ". Puedes modificar 
los límites con este deslizador."