Which value of D would make the equation true? the 2 by 2 matrix, row 1, column 1, 9 column 2, negative 11 row 2, column 1, 5 column 2, negative 6 times cap d is equal to the 2 by 2 matrix row 1, 1 0 row 2, 0 1

For a 2 by 2 matrix [[a, b], [c, d]], the inverse is 1/(ad − bc) times [[d, −b], [−c, a]]. The given matrix has determinant 9(−6) − (−11)(5) = 1, so its inverse is [[−6, 11], [−5, 9]]. Therefore, choice C makes the product equal the identity matrix.

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