Question

11 th grade algebra .

Answer 1

C

Explanation:

The inverse of a matrix is the transpose of the cofactor matrix, divided by the determinant. The determinant is (4)(3) -(1)(-5) = 17, eliminating choice B.

In a 2×2 matrix, the transpose of the cofactor matrix swaps the diagonal elements, and negates the off-diagonal elements. That is, the transpose of the cofactor matrix will look like the matrix of B. When that is divided by 17, you get the matrix of answer choice C.