sabendo que M = 1 2 e N 2 0, calcule MN - NM
0 1 1 1
Soluções para a tarefa
Respondido por
19
m = [ 1 2 ]
[ 0 1 ]
n = [ 2 0 ]
[ 1 1 ]
Solve :
mn = [ ( 1 x 2 + 2 x 1 ) ( 1 x 0 + 2 x 1 )] = [ 4 2 ]
[ ( 0 x 2 + 1 x 1 ) ( 0 x 0 + 1 x 1 )] [ 1 1 ]
nm = [ (2 x 1 + 0 x 0 ) ( 2 x 2 + 0 x 2)] = [ 2 4 ]
[ ( 1 x 1 + 1x 0 ) ( 1 x 2 + 1 x 1)] [ 1 2 ]
mn - nm = [ (4-2) (2-4)] = [ 2 -2 ]
[ (1 - 1) (1-2)] [ 0 -1 ]
[ 0 1 ]
n = [ 2 0 ]
[ 1 1 ]
Solve :
mn = [ ( 1 x 2 + 2 x 1 ) ( 1 x 0 + 2 x 1 )] = [ 4 2 ]
[ ( 0 x 2 + 1 x 1 ) ( 0 x 0 + 1 x 1 )] [ 1 1 ]
nm = [ (2 x 1 + 0 x 0 ) ( 2 x 2 + 0 x 2)] = [ 2 4 ]
[ ( 1 x 1 + 1x 0 ) ( 1 x 2 + 1 x 1)] [ 1 2 ]
mn - nm = [ (4-2) (2-4)] = [ 2 -2 ]
[ (1 - 1) (1-2)] [ 0 -1 ]
thaynara321:
Esse resultado da NM nao fica assim [2 4]
[1 3]
mto obrigado
dnd
Respondido por
1
Resposta:
Mn - nm= 3 -3
0 -3
Explicação passo-a-passo:
m . n= 2 +3 0 +3 = 5 3
0 +1 0 +1 1 1
n . m= 2 +0 6 +0 = 2 6
1 +0 3 +1 1 4
mn - nm= 5 3 - 2 -6 = 5 + (-2) 3 + (-6) = 3 -3
1 1 1 -4 1 + (-1) 1 + (-4) 0 -3
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