Question

Resolva o sistema a seguir pela Regra de Cramer. {x+2y+3z=7 2x+y+z=4 3x+3y+z=14

Answer 1

P= [ 1 2 3|2 1 1 | 3 3 1]

det P= 9

X = [ 7 2 3 | 4 1 1 | 14 3 1]

det X= 0

Y = [ 1 7 3 | 2 4 1 | 3 14 1]

det Y= 45

Z = [ 1 2 7 | 2 1 4 | 3 3 14]

det Z = - 9

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X = det x / det P
X = 0/9

X = 0

~

Y = det y/ det P
Y = 45/9

Y = 5

~

Z = det z/det P
Z= -9/9

Z = -1

~