Let A= [ array ccc 1 & -1 & 1 2 & 1 & -3 1 & 1 & 1 array ] and 10 B= [ array ccc 4 & 2 & 2 -5 & 0 & 1 & -2 & 3 array ] . If B is the inverse of matrix A , then is

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Correct answer: D. 5

Given, [ array ccc 4 & 2 & 2 -5 & 0 & 1 & -2 & 3 array ]=10 A⁻¹ [ array ccc 4 & 2 & 2 -5 & 0 & 1 & -2 & 3 array ] [ array ccc 1 & -1 & 1 2 & 1 & -3 1 & 1 & 1 array ] aligned & = [ array ccc 10 & 0 & 0 0 & 10 & 0 0 & 0 & 10 array ] & [ array ccc 10 & 0 & 0 -5+ & 5+ & -5+ 0 & 0 & 10 array ] & = [ array ccc 10 & 0 & 0 0 & 10 & 0 0 & 0 & 10 array ] aligned array ll & -5+ =0 & =5 array

Let A= [ array ccc 1 & -1 & 1 2 & 1 & -3 1 & 1 & 1 array ] and 10 B= [ array ccc 4 & 2 & 2 -5 & 0 & 1 & -2 & 3 array ] . If B is the inverse of matrix A , then is

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