If P=[(x,0, 0),( 0,y,0 ),(0, 0,z)] and ...

If `P=[(x,0, 0),( 0,y,0 ),(0, 0,z)]` and `Q=[(a,0 ,0 ),(0,b,0 ),(0, 0,c)]` , prove that `P Q=[(x a,0 ,0 ),(0,y b,0),( 0 ,0,z c)]=Q P`

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Given that,
`P=[(x,0, 0),( 0,y,0 ),(0, 0,z)]` and `Q=[(a,0 ,0 ),(0,b,0 ),(0, 0,c)]` `PQ=[(x,0, 0),( 0,y,0 ),(0, 0,z)] [(a,0 ,0 ),(0,b,0 ),(0, 0,c)]`
`=[(x a,0 ,0 ),(0,y b,0),( 0 ,0,z c)]`
`QP=[(a,0 ,0 ),(0,b,0 ),(0, 0,c)] [(x,0, 0),( 0,y,0 ),(0, 0,z)] `
`=[(x a,0 ,0 ),(0,y b,0),( 0 ,0,z c)]`
Hence Proved.

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