Question

c-) a matriz X, tal que 3.(X –A) + 2.B = 4.(X –A + 2.C)
Dadas as matrizes calcule:
A matriz X, tal que 3.(X –A) + 2.B = 4.(X –A + 2.C)

Answer 1

3.(x-A)+2.B=4.(x-A+2×C)

=> 3x -3A+2B= 4x-4A+8C

=> 3x-4x =-4A+8C+3A-2B

=> -x= -A +8C-2B => x= A-8C+2B

X= (2 3 0 1)-(120 112 0 144)+(0 8 6 4)

X= (-118 -101 6 -139)