If `P=[{:(x,0,0),(0,y,0),(0,0,z):}]` and `Q=[{:(a,0,0),(0,b,0),(0,0 ,c):}]` then prove that
`PQ=[{:(xa,0,0),(0,yb,0),(0,0,zc):}]=QP`.

If P=[{:(x,0,0),(0,y,0),(0,0,z):}]andQ=[{:(a,0,0),(0,b,0),(0,0,c):}] , prove that PQ=[{:(xa,0,0),(0,yb,0),(0,0,zc):}]=QP .

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

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

If P = [(x,0,0),(0,y,0),(0,0,z)]and Q = [(a,0,0),(0,b,0),(0,0,c)] , verify that PQ = QP = [(xa, 0,0),(0,yb,0),(0,0,zc)]

|(a,p,q),(0,b,r),(0,0,c)|

The matrix [(a,0,0),(0,b,0),(0,0,c)] is

Choose the correct answer in questions 17 to 19: If x, y, z are nonzero real numbers then the inverse of metrix A=[{:(x,0,0),(0,y,0),(0,0,z):}] is : (a) [{:(x^(-1),0,0),(0,y^(1),0),(0,0,z^(1)):}] (b) xyz[{:(x^(-1),0,0),(0,y^(1),0),(0,0,z^(1)):}] ( c) 1/(xyz)[{:(x,0,0),(0,y,0),(0,0,z):}] (d) 1/(xyz)[{:(1,0,0),(0,1,0),(0,0,1):}]

If {:A=[(a,0,0),(0,b,0),(0,0,c)]:}," then "A^(-1) , is

If {:A=[(a,0,0),(0,b,0),(0,0,c)]:}," then "A^(-1) , is