If P=[x0 0 0y0 0 0z] and Q=[a0 0 0b0 0 0...

If `P=[x0 0 0y0 0 0z]` and `Q=[a0 0 0b0 0 0c]` , prove that `P Q=[x a0 0 0y b0 0 0z c]=Q P`

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`PQ=[{:( x,0,0),(0,y,0),(0,0,z):}][{:(a,0,0),(0,b,0),(0,0, c):}]=[{:(xa,0,0),(0,yb,0),(0,0,zc):}]`
and `QP=[{:(a,0,0),(0,b,0),(0,0,c):}] [{:(x,0,0),(0,y,0),(0,0,y):}]=[{:(ax ,0,0),(0,by,0),(0,0,zc):}]`
Thus, we see that `PQ=QP`

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