Question

Sendo A=( Aij) 3x3, com Aij= j-i, determine a matriz X 3x3, dado que: -X=1/2 . (A-I3).

Answer 1

A= ( a11 a12 a13 )
( a21 a22 a23)
( a31 a32 a33 )

A= I-J ( 1-1= 0 ),(1-2= -1),(1-3= -2)
(2-1= 1), (2-2= 0), (2-3= -1)
(3-1= 2), (3-2= 1), (3-3= 0)

A= ( 0 -1 - 2)
(1 0 -1)
(2 1 0 )