Determine a matriz inversa das seguintes matrizes, utilizando a matriz adjunta
(a)
(b)
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C=(rrr2 & 10 & 1 6 & 3 & 3 -6 & 2 & 9)
(a)
(b)
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Passo 1
Passo
Passo 2
Passo
Exercícios relacionados
Calcule o determinante das seguintes matrizes pelo método de Laplace.
(a)
(b)
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A=(ll3 & 1 5 & 2)
B=(rrr2 & -3 & 3 4 & 4 & 1 2 & 1 & 2)
C=(rrrr2 & 0 & 1 & 1 0 & 3 & 3 & -1 -6 & 12 & 0 & 4 1 & -15 & 21 & 3)
(a)
(b)
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Resolva os seguintes sistemas, onde
a, b e
c são constantes.
(a) clx1+x2+x3 & =a 2 x1+2 x3 & =b 3 x2+3 x3 & =c
Resolva o sistema invertendo a matriz dos coeficientes:
(a)cx1+x2=2 5 x1+6 x2=9
(b)clrx1+3 x2+x3 & = & 4 2 x1+2 x2+x3 & = & -1 2 x1+3 x2+x3 & = & 3
©clrx+y+z & = & 5 x+y-4 z & = & 10 -4 x+y+z & = & 0
(d)ccx1+2 x2+3 x3 & =b1 2 x1+5 x2+5 x3 & =b2 3 x1+5 x2+8 x3 & =b3
(a)
(b)
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(d)
Encontre condições sobre as constantes
bj (a)
l6 x1-4 x2=b1 3 x1-2 x2=b2
(b)cllx1-2 x2+5 x3 & =b1 4 x1-5 x2+8 x3 & = & b2 -3 x1+3 x2-3 x3 & = & b3
©cccx1-2 x2-x3 & = & b1 -4 x1+5 x2+2 x3 & = & b2 -4 x1+7 x2+4 x3 & = & b2
(d)cccx1-x2+3 x3+2 x1 & =b1 -2 x1+x2+5 x3+x1 & =b2 -3 x1+2 x2+2 x3-x1 & =b3 4 x1-3 x2+x3+3 x1 & =b4
(b)
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(d)