Question

Dadas las siguientes matrices

A= |1 -1|     B= |-1 0|
      |2  3|        |2  3|

Resuelva la ecuación para X: 3(2A+B+X)=5(X-A+B)

Answer 1

6A + 3B + 3X = 5X - 5A + 5B
11A - 2B = 2X

11 [ 1 -1 ] -2 [ -1 0 ] = 2X
[ 2 3 ] [ 2 3 ]

[ 11 -11 ] - [ -2 0 ] = 2X
[ 22 33 ] [ 4 6 ]

[ 13 -11 ] = 2X
[ 18 27]

X = [ (13/2) (-11/2) ]
[ (9) (27/2) ]