Which value of x would make the following matrix singular? the 2 by 2 matrix row 1, 5 x row 2, 3 6

A 2 by 2 matrix is singular when its determinant is zero. For the matrix with rows [5, x] and [3, 6], the determinant is (5)(6) − (x)(3) = 30 − 3x. Setting this equal to zero gives x = 10, so the correct choice is 10.

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