Question

If A = [x y,z w] , B = [x -y,-z w] and C = [0 y,2z 0] show that (A+B)+C=A+(B+C)​

Answer 1

Step-by-step explanation:

A={x,y,z,w}

B={x,-y,-z,w}

C={0,y,2z,0}

(A+B)={2x,0,0,2w}

(B+C)={x,0,z,w}

1) (A+B)+C={2x,y,2z,2w}

2)A+(B+C)={2x,y,2z,2w}

hence,

(A+B)+C=A+(B+C)