Which value of y makes the two matrices inverses of each other? the 2 by 2 matrix, row 1, column 1, 6 column 2, 14 row 2, column 1, negative 2 column 2, negative 4 the 2 by 2 matrix, row 1, column 1, negative 1 column 2, negative 7 halves row 2, column 1, y column 2, 3 halves

For a 2 by 2 matrix [[a,b],[c,d]], the inverse is 1/(ad−bc) times [[d,−b],[−c,a]]. The first matrix has determinant 6(−4)−14(−2)=4, so its inverse is [[−1,−7/2],[1/2,3/2]]. Matching the lower-left entry with the second matrix gives y=1/2, choice A.

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