Nueva matriz

Elementos de la matriz

Desarrollo por:

Introducción manual

Introducción manual

Generación aleatoria

Generación aleatoria

C4: 2
C9 = Random(-9, 9)
j = 1 (slider from 0 to 1, step 1)
D4: 1
D9 = Random(-9, 9)
B4: 2
B9 = Random(-9, 9)
A4: 0
A9 = Random(-9, 9)
C3: 2
C8 = Random(-9, 9)
D3: 1
D8 = Random(-9, 9)
B3: -2
B8 = Random(-9, 9)
A3: 3
A8 = Random(-9, 9)
C2: 2
C7 = Random(-9, 9)
D2: 1
D7 = Random(-9, 9)
B2: 1
B7 = Random(-9, 9)
A2: 0
A7 = Random(-9, 9)
D1: -1
D6 = Random(-9, 9)
C1: 1
C6 = Random(-9, 9)
B1: 2
B6 = Random(-9, 9)
A6 = Random(-9, 9)
A1: 1
C24: 0
A24: C24
B1_1 = NaN
n = 2 (slider from 1 to 4, step 1)
R12: {"Fila", "Columna"}
i = SelectedIndex(R12)
A12 = If(j ≟ 0, A1, A6)
B12 = If(j ≟ 0, B1, B6)
D12 = If(j ≟ 0, D1, D6)
C12 = If(j ≟ 0, C1, C6)
A13 = If(j ≟ 0, A2, A7)
D13 = If(j ≟ 0, D2, D7)
C13 = If(j ≟ 0, C2, C7)
B13 = If(j ≟ 0, B2, B7)
A14 = If(j ≟ 0, A3, A8)
D14 = If(j ≟ 0, D3, D8)
C14 = If(j ≟ 0, C3, C8)
B14 = If(j ≟ 0, B3, B8)
A15 = If(j ≟ 0, A4, A9)
D15 = If(j ≟ 0, D4, D9)
C15 = If(j ≟ 0, C4, C9)
B15 = If(j ≟ 0, B4, B9)
G12: C13
F12: B13
H12: D13
G13: C14
F13: B14
H13: D14
G14: C15
F14: B15
H14: D15
I12: A13
J12: C13
K12: D13
I13: A14
J13: C14
K13: D14
I14: A15
J14: C15
K14: D15
L12: A13
M12: B13
N12: D13
O12: A13
P12: B13
Q12: C13
L13: A14
M13: B14
N13: D14
O13: A14
P13: B14
Q13: C14
L14: A15
M14: B15
N14: D15
O14: A15
P14: B15
Q14: C15
F15: B12
G15: C12
H15: D12
F16: B14
G16: C14
H16: D14
F17: B15
G17: C15
H17: D15
I15: A12
J15: C12
K15: D12
I16: A14
J16: C14
K16: D14
I17: A15
J17: C15
K17: D15
L15: A12
M15: B12
N15: D12
L16: A14
M16: B14
N16: D14
L17: A15
M17: B15
N17: D15
O15: A12
P15: B12
Q15: C12
O16: A14
P16: B14
Q16: C14
O17: A15
P17: B15
Q17: C15
F18: B12
G18: C12
H18: D12
F19: B13
G19: C13
H19: D13
F20: B15
G20: C15
H20: D15
I18: A12
J18: C12
K18: D12
I19: A13
J19: C13
K19: D13
I20: A15
J20: C15
K20: D15
L18: A12
M18: B12
N18: D12
L19: A13
M19: B13
N19: D13
L20: A15
M20: B15
N20: D15
O18: A12
P18: B12
Q18: C12
O19: A13
P19: B13
Q19: C13
O20: A15
P20: B15
Q20: C15
F21: B12
G21: C12
H21: D12
F22: B13
G22: C13
H22: D13
F23: B14
G23: C14
H23: D14
I21: A12
J21: C12
K21: D12
L21: A12
M21: B12
N21: D12
O21: A12
P21: B12
Q21: C12
I22: A13
J22: C13
K22: D13
L22: A13
M22: B13
N22: D13
O22: A13
P22: B13
Q22: C13
I23: A14
J23: C14
K23: D14
L23: A14
M23: B14
N23: D14
O23: A14
P23: B14
Q23: C14
m: {{A12, B12, C12, D12}, {A13, B13, C13, D13}, {A14, B14, C14, D14}, {A15, B15, C15, D15}}
mg: {{F12, G12, H12, I12, J12, K12, L12, M12, N12, O12, P12, Q12}, {F13, G13, H13, I13, J13, K13, L13, M13, N13, O13, P13, Q13}, {F14, G14, H14, I14, J14, K14, L14, M14, N14, O14, P14, Q14}, {F15, G15, H15, I15, J15, K15, L15, M15, N15, O15, P15, Q15}, {F16, G16, H16, I16, J16, K16, L16, M16, N16, O16, P16, Q16}, {F17, G17, H17, I17, J17, K17, L17, M17, N17, O17, P17, Q17}, {F18, G18, H18, I18, J18, K18, L18, M18, N18, O18, P18, Q18}, {F19, G19, H19, I19, J19, K19, L19, M19, N19, O19, P19, Q19}, {F20, G20, H20, I20, J20, K20, L20, M20, N20, O20, P20, Q20}, {F21, G21, H21, I21, J21, K21, L21, M21, N21, O21, P21, Q21}, {F22, G22, H22, I22, J22, K22, L22, M22, N22, O22, P22, Q22}, {F23, G23, H23, I23, J23, K23, L23, M23, N23, O23, P23, Q23}}
mf1 = Sequence(Sequence[Element[mg, i, j], j, 1, 3], i, (3 * n) - 2, (3 * n))
mf2 = Sequence(Sequence[Element[mg, i, j], j, 4, 6], i, (3 * n) - 2, (3 * n))
mf3 = Sequence(Sequence[Element[mg, i, j], j, 7, 9], i, (3 * n) - 2, (3 * n))
mf4 = Sequence(Sequence[Element[mg, i, j], j, 10, 12], i, (3 * n) - 2, (3 * n))
mc1 = Sequence(Sequence[Element[mg, i, j], j, (3 * n) - 2, (3 * n)], i, 1, 3)
mc2 = Sequence(Sequence[Element[mg, i, j], j, (3 * n) - 2, (3 * n)], i, 4, 6)
mc3 = Sequence(Sequence[Element[mg, i, j], j, (3 * n) - 2, (3 * n)], i, 7, 9)
mc4 = Sequence(Sequence[Element[mg, i, j], j, (3 * n) - 2, (3 * n)], i, 10, 12)
m1 = If(i ≟ 1, mf1, mc1)
texto11: "Desarrollo por Fila " + n + ""
texto12: "Desarrollo por columna " + n + ""
texto1 = If(i ≟ 1, texto11, texto12)
A = (-3.04, -1.4517542387001467)
p2 = If(i ≟ 1, Element[m, n, 2], Element[m, 2, n])
p3 = If(i ≟ 1, Element[m, n, 3], Element[m, 3, n])
p4 = If(i ≟ 1, Element[m, n, 4], Element[m, 4, n])
p1 = If(i ≟ 1, Element[m, n, 1], Element[m, 1, n])
m2 = If(i ≟ 1, mf2, mc2)
m3 = If(i ≟ 1, mf3, mc3)
m4 = If(i ≟ 1, mf4, mc4)
texto3: "\left(  " + (LaTeX[p1]) + " \right) ·det" + (LaTeX[m1]) + "+\left(  " + (LaTeX[p2]) + " \right) ·det" + (LaTeX[m2]) + "+\left( " + (LaTeX[p3]) + "  \right) ·det" + (LaTeX[m3]) + "+\left( " + (LaTeX[p4]) + "  \right) ·det" + (LaTeX[m4]) + ""
q1: (Determinant[m1] * (-1)^(n + 1))
q2: (Determinant[m2] * (-1)^(n + 2))
q3: (Determinant[m3] * (-1)^(n + 3))
q4: (Determinant[m4] * (-1)^(n + 4))
qq: (p1 * q1) + (p2 * q2) + (p3 * q3) + (p4 * q4)
qx = Determinant(m)
B24: 0
D24: 0
A25: 0
B25: 1
C25: 0
D25: 0
A26: 0
B26: 0
C26: 1
D26: 0
A27: 0
B27: 0
C27: 0
D27: 1
G24: C25
F24: B25
H24: D25
G25: C26
F25: B26
H25: D26
G26: C27
F26: B27
H26: D27
I24: A25
J24: C25
K24: D25
I25: A26
J25: C26
K25: D26
I26: A27
J26: C27
K26: D27
L24: A25
M24: B25
N24: D25
O24: A25
P24: B25
Q24: C25
L25: A26
M25: B26
N25: D26
O25: A26
P25: B26
Q25: C26
L26: A27
M26: B27
N26: D27
O26: A27
P26: B27
Q26: C27
F27: B24
G27: C24
H27: D24
F28: B26
G28: C26
H28: D26
F29: B27
G29: C27
H29: D27
I27: A24
J27: C24
K27: D24
I28: A26
J28: C26
K28: D26
I29: A27
J29: C27
K29: D27
L27: A24
M27: B24
N27: D24
L28: A26
M28: B26
N28: D26
L29: A27
M29: B27
N29: D27
O27: A24
P27: B24
Q27: C24
O28: A26
P28: B26
Q28: C26
O29: A27
P29: B27
Q29: C27
F30: B24
G30: C24
H30: D24
F31: B25
G31: C25
H31: D25
F32: B27
G32: C27
H32: D27
I30: A24
J30: C24
K30: D24
I31: A25
J31: C25
K31: D25
I32: A27
J32: C27
K32: D27
L30: A24
M30: B24
N30: D24
L31: A25
M31: B25
N31: D25
L32: A27
M32: B27
N32: D27
O30: A24
P30: B24
Q30: C24
O31: A25
P31: B25
Q31: C25
O32: A27
P32: B27
Q32: C27
F33: B24
G33: C24
H33: D24
F34: B25
G34: C25
H34: D25
F35: B26
G35: C26
H35: D26
I33: A24
J33: C24
K33: D24
L33: A24
M33: B24
N33: D24
O33: A24
P33: B24
Q33: C24
I34: A25
J34: C25
K34: D25
L34: A25
M34: B25
N34: D25
O34: A25
P34: B25
Q34: C25
I35: A26
J35: C26
K35: D26
L35: A26
M35: B26
N35: D26
O35: A26
P35: B26
Q35: C26
texto51: "Δ_{" + (LaTeX[n]) + "1}=\left(-1   \right)^{" + (LaTeX[n]) + "+1}·det"
texto52: "Δ_{1" + (LaTeX[n]) + "}=\left(-1   \right)^{1+" + (LaTeX[n]) + "}·det"
texto5 = If(i ≟ 1, texto51, texto52)
texto61: "Δ_{ " + (LaTeX[n]) + "2}=\left(-1   \right)^{ " + (LaTeX[n]) + "+2}·det"
texto62: "Δ_{2" + (LaTeX[n]) + "}=\left(-1   \right)^{2+" + (LaTeX[n]) + "}·det"
B = (-2.410909090909092, 0.3290909090909088)
C = (-2.42909090909091, -1.4345454545454568)
D = (-2.4836363636363648, -2.961818181818186)
E = (-2.42909090909091, -4.852727272727279)
texto6 = If(i ≟ 1, texto61, texto62)
texto72: "Δ_{3" + (LaTeX[n]) + "}=\left(-1   \right)^{ 3+" + (LaTeX[n]) + "}·det"
texto71: "Δ_{" + (LaTeX[n]) + " 3}=\left(-1   \right)^{ " + (LaTeX[n]) + "+3}·det"
texto7 = If(i ≟ 1, texto71, texto72)
texto82: "Δ_{ " + (LaTeX[n]) + "4}=\left(-1   \right)^{4+" + (LaTeX[n]) + "}·det"
texto81: "Δ_{ " + (LaTeX[n]) + " 4}=\left(-1   \right)^{  " + (LaTeX[n]) + "+4}·det"
texto8 = If(i ≟ 1, texto81, texto82)
texto2: "A=" + (LaTeX[m]) + ""
textoa1: "det(A) \; = \; a_{" + (LaTeX[n]) + "1} Δ_{" + (LaTeX[n]) + " 1}+a_{" + (LaTeX[n]) + " 2} Δ_{ " + (LaTeX[n]) + "2}+a_{ " + (LaTeX[n]) + "3} Δ_{ " + (LaTeX[n]) + " 3}+a_{" + (LaTeX[n]) + "4} Δ_{" + (LaTeX[n]) + "4}="
textoa2: "det(A) \; = \; a_{ 1" + (LaTeX[n]) + "} Δ_{  1" + (LaTeX[n]) + "}+a_{  2" + (LaTeX[n]) + "} Δ_{  2" + (LaTeX[n]) + "}+a_{  3" + (LaTeX[n]) + "} Δ_{   3" + (LaTeX[n]) + "}+a_{ 4" + (LaTeX[n]) + "} Δ_{ 4" + (LaTeX[n]) + "}="
textoa = If(i ≟ 1, textoa1, textoa2)
F = (-2.8290909090909104, -6.634545454545463)
texto4: "=\left( " + (LaTeX[p1]) + "  \right) ·\left( " + (LaTeX[q1]) + "  \right) +\left( " + (LaTeX[p2]) + "  \right) ·\left(  " + (LaTeX[q2]) + " \right) +\left(  " + (LaTeX[p3]) + " \right) ·\left(  " + (LaTeX[q3]) + " \right) +\left( " + (LaTeX[p4]) + "  \right) ·\left( " + (LaTeX[q4]) + "  \right)"
texto10: "det(A) = " + (LaTeX[qq]) + ""
texto53: "" + (LaTeX[m1]) + "=" + (LaTeX[q1]) + ""
texto63: "" + (LaTeX[m2]) + "=" + (LaTeX[q2]) + ""
texto73: "" + (LaTeX[m3]) + "=" + (LaTeX[q3]) + ""
texto83: "" + (LaTeX[m4]) + "=" + (LaTeX[q4]) + ""