Como dados:
X + Y = ( 1 1 )
. . . . . . .( 2 2 )
X - Y = ( 2 2 )
. . . . . . ( 1 1 )
Somando as duas equaçōes matriciais, obtemos:
2X = ( 1 1 ) + ( 2 2 )
. . . . .( 2 2 ). . ( 1 1 )
2X = ( 3 3 )
. . . . .( 3 3 )
Simplificando:
X = ( 3/2 3/2 )
. . . .( 3/2 3/2 )
Logo:
Y = ( 1 1 ) - X
. . . .( 2 2 )
Y = ( 1 1 ) - ( 3/2 3/2 )
. . . .( 2 2 ). .( 3/2 3/2 )
Y = ( -1/2 -1/2 )
. . . .( 1/2 1/2 )
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Answers & Comments
Como dados:
X + Y = ( 1 1 )
. . . . . . .( 2 2 )
X - Y = ( 2 2 )
. . . . . . ( 1 1 )
Somando as duas equaçōes matriciais, obtemos:
2X = ( 1 1 ) + ( 2 2 )
. . . . .( 2 2 ). . ( 1 1 )
2X = ( 3 3 )
. . . . .( 3 3 )
Simplificando:
X = ( 3/2 3/2 )
. . . .( 3/2 3/2 )
Logo:
Y = ( 1 1 ) - X
. . . .( 2 2 )
Y = ( 1 1 ) - ( 3/2 3/2 )
. . . .( 2 2 ). .( 3/2 3/2 )
Y = ( -1/2 -1/2 )
. . . .( 1/2 1/2 )