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If A=[(5,0,0),(0,6,0),(0,0,7)] then show...

If `A=[(5,0,0),(0,6,0),(0,0,7)]` then show that `A^(-1) = [(1/5,0,0),(0,1/6,0),(0,0,1/7)]`

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The inverse of the matrix [(0,0,1),(0,1,0),(1,0,0)] is (A) [(0,0,1),(0,1,0),(1,0,0)] (B) [(0,0,-1),(0,-1,0),(-1,0,0)] (C) [(1,0,0),(0,1,0),(0,0,1)] (D) [(1/2,0,0),(0,1/2,0),(0,0,1/2)]