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kol2006pgn87ejc28

Module by: Diego Fernandez. E-mail the author

Ejercicio Kolman Ch 1.6 Ej 28 Diego FernandezResolver el sistema con la matriz aumentada dada.

(a)

A := 1 2 3 0 1 1 1 0 5 7 94 0 A := 1 2 3 0 1 1 1 0 5 7 94 0

12301110579401230111057940->>R2=R2-R112300-1-204591012300-1-2045910->>R3=R3-4R112300-1-2100-379012300-1-2100-3790->>R2=R2*-11230012100-37901230012100-3790->>R1=R1-2R2

10-390012100-379010-390012100-3790->>R3=R3+3R2

10-3900121000142010-39001210001420->>R3=1/142R3

10-39001210001010-390012100010->>R1=R1+39R3,R2=R2+21R3

1 0 0 0 0 1 0 0 0 0 1 0 1 0 0 0 0 1 0 0 0 0 1 0

X=0

Y=0

Z=0

RowReduce [ A ] // MatrixForm RowReduce [ A ] // MatrixForm

1 0 0 0 0 1 0 0 0 0 1 0 1 0 0 0 0 1 0 0 0 0 1 0

(b)

B := 1 2 1 7 2 0 1 4 1 0 2 5 1 2 3 11 2 1 4 12 B := 1 2 1 7 2 0 1 4 1 0 2 5 1 2 3 11 2 1 4 12

RowReduce [ B ] // MatrixForm RowReduce [ B ] // MatrixForm

1 0 0 1 0 1 0 2 0 0 1 2 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 2 0 0 1 2 0 0 0 0 0 0 0 0

X=1

Y=2

Z=2

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