calcular la inversa de la matriz dada.
1 1 1
0 2 3
5 5 1
1 2 3
1 1 2
0 1 2
3 1 0
1 -1 2
3 1 1
Hola
Con ayuda de Excel
.....1.....1.....1.....1.....0.....0
.....0.....2.....3.....0.....1.....0
.....5.....5.....1.....0.....0.....1
F3 = F3 - 5 F1
.....0.....0....-4....-5.....0.....1
F2 = F2 /2
F3 = F3/(-4)
.....1.....1.....1.....1.....0......0
.....0.....1...3/2....0....1/2....0
.....0.....0.....1....5/4....0..-1/4
F2 = F2 - (3/2) F3
.....1.....1.....1.....1......0......0
.....0.....1.....0..-15/8..1/2...3/8
.....0.....0.....1....5/4....0....-1/4
F1 = F1 - F2 - F3
.....1.....0.....0...13/8..-1/2..-1/8
.....0.....1.....0..-15/8...1/2...3/8
.....0.....0.....1....5/4.....0....-1/4
A^-1 =
..13/8..-1/2..-1/8
.-15/8...1/2...3/8
...5/4.....0....-1/4
************************
.....1.....2.....3.....1.....0.....0
.....1.....1.....2.....0.....1.....0
.....0.....1.....2.....0.....0.....1
F2 = F2 - F3
.....0.....0....-1.....1....-1....-1
.....1.....0.....0.....0.....1....-1
F1 <->F2
F2 <->F3
F2 = F2 + 2 F3
F3 = F3/(-1)
.....0.....1.....0.....2....-2....-1
.....0.....0.....1.....-1....1.....1
B^-1 =
..0.....1....-1
..2....-2....-1
.-1....1.....1
*******************
.....3.....1.....0.....1.....0.....0
.....1....-1.....2.....0.....1.....0
.....3.....1.....1.....0.....0.....1
F1 = F1 - 3 F2
F3 = F3 - F1
.....0.....4....-6.....1....-3....0
.....1.....-1.....2.....0.....1....0
.....0.....0.....1.....-1.....0.....1
F2 = F2 /4
.....0.....1..-3/2..1/4..-3/4..0
.....0.....0.....1.....-1.....0....1
F2 = F1 + (3/2) F3
.....1....-1.....2.....0.....1......0
.....0.....1.....0..-5/4..-3/4..3/2
F1 = F1 + F2 - 2 F3
.....1.....0.....0...3/4...1/4..-1/2
.....0.....1.....0..-5/4..-3/4...3/2
.....0.....0.....1....-1......0......1
C^-1 =
..3/4...1/4..-1/2
.-5/4..-3/4...3/2
...-1......0......1
Copyright © 2024 1QUIZZ.COM - All rights reserved.
Answers & Comments
Verified answer
Hola
Con ayuda de Excel
.....1.....1.....1.....1.....0.....0
.....0.....2.....3.....0.....1.....0
.....5.....5.....1.....0.....0.....1
F3 = F3 - 5 F1
.....1.....1.....1.....1.....0.....0
.....0.....2.....3.....0.....1.....0
.....0.....0....-4....-5.....0.....1
F2 = F2 /2
F3 = F3/(-4)
.....1.....1.....1.....1.....0......0
.....0.....1...3/2....0....1/2....0
.....0.....0.....1....5/4....0..-1/4
F2 = F2 - (3/2) F3
.....1.....1.....1.....1......0......0
.....0.....1.....0..-15/8..1/2...3/8
.....0.....0.....1....5/4....0....-1/4
F1 = F1 - F2 - F3
.....1.....0.....0...13/8..-1/2..-1/8
.....0.....1.....0..-15/8...1/2...3/8
.....0.....0.....1....5/4.....0....-1/4
A^-1 =
..13/8..-1/2..-1/8
.-15/8...1/2...3/8
...5/4.....0....-1/4
************************
.....1.....2.....3.....1.....0.....0
.....1.....1.....2.....0.....1.....0
.....0.....1.....2.....0.....0.....1
F1 = F1 - F2 - F3
F2 = F2 - F3
.....0.....0....-1.....1....-1....-1
.....1.....0.....0.....0.....1....-1
.....0.....1.....2.....0.....0.....1
F1 <->F2
F2 <->F3
.....1.....0.....0.....0.....1....-1
.....0.....1.....2.....0.....0.....1
.....0.....0....-1.....1....-1....-1
F2 = F2 + 2 F3
F3 = F3/(-1)
.....1.....0.....0.....0.....1....-1
.....0.....1.....0.....2....-2....-1
.....0.....0.....1.....-1....1.....1
B^-1 =
..0.....1....-1
..2....-2....-1
.-1....1.....1
*******************
.....3.....1.....0.....1.....0.....0
.....1....-1.....2.....0.....1.....0
.....3.....1.....1.....0.....0.....1
F1 = F1 - 3 F2
F3 = F3 - F1
.....0.....4....-6.....1....-3....0
.....1.....-1.....2.....0.....1....0
.....0.....0.....1.....-1.....0.....1
F1 <->F2
F2 = F2 /4
.....1....-1.....2.....0.....1.....0
.....0.....1..-3/2..1/4..-3/4..0
.....0.....0.....1.....-1.....0....1
F2 = F1 + (3/2) F3
.....1....-1.....2.....0.....1......0
.....0.....1.....0..-5/4..-3/4..3/2
.....0.....0.....1.....-1.....0.....1
F1 = F1 + F2 - 2 F3
.....1.....0.....0...3/4...1/4..-1/2
.....0.....1.....0..-5/4..-3/4...3/2
.....0.....0.....1....-1......0......1
C^-1 =
..3/4...1/4..-1/2
.-5/4..-3/4...3/2
...-1......0......1