A= 1---2
,,,,,,0---2
A . Aˉ¹ = I
[1 2] x [a b] = [1 0]
[0 2] x [c d] = [0 1]
[(a + 2c) (b + 2d)] = [1 0]
[... (2c) ... (2d) ...] = [0 1]
{ a + 2c = 1
{ 2c = 0
2c = 0
c = 0
a + 2c = 1
a + 2 . 0 = 1
a + 0 = 1
a = 1
{ b + 2d = 0
{ 2d = 1
2d = 1
d = 1/2
b + 2d = 0
b + 2 . (1/2) = 0
b + 1 = 0
b = -1
______________________________
Aˉ¹ =
[1 .... -1]
[0 .. 1/2]
matriz A
1 2
0 2
matriz adjudante adj(A)
2 -2
0 1
det(A) = 2
matriz inversa A-¹ = adj(A)/det(A)
2/2 -2/2
0/2 1/2
matriz A-¹
1 - 1
0 1/2
pronto
1 2 a b 1 0
0 2 x c d = 0 1
a+2c=1 b+2d=0
2c=0 2d=1
2c=0
c=0
2d=1
d=1/2
a+2c=1
a+0=1
a=1
b+2d=0
b+2(1/2)=0
b=-1
A-¹= 1 -1
?????????????
Copyright © 2024 1QUIZZ.COM - All rights reserved.
Answers & Comments
Verified answer
A . Aˉ¹ = I
[1 2] x [a b] = [1 0]
[0 2] x [c d] = [0 1]
[(a + 2c) (b + 2d)] = [1 0]
[... (2c) ... (2d) ...] = [0 1]
{ a + 2c = 1
{ 2c = 0
2c = 0
c = 0
a + 2c = 1
a + 2 . 0 = 1
a + 0 = 1
a = 1
{ b + 2d = 0
{ 2d = 1
2d = 1
d = 1/2
b + 2d = 0
b + 2 . (1/2) = 0
b + 1 = 0
b = -1
______________________________
Aˉ¹ =
[1 .... -1]
[0 .. 1/2]
matriz A
1 2
0 2
matriz adjudante adj(A)
2 -2
0 1
det(A) = 2
matriz inversa A-¹ = adj(A)/det(A)
2/2 -2/2
0/2 1/2
matriz A-¹
1 - 1
0 1/2
pronto
1 2 a b 1 0
0 2 x c d = 0 1
a+2c=1 b+2d=0
2c=0 2d=1
2c=0
c=0
2d=1
d=1/2
a+2c=1
a+0=1
a=1
b+2d=0
b+2(1/2)=0
b=-1
A-¹= 1 -1
0 1/2
?????????????