The inverse of a 2x2 matrix [a b; c d] is given by 1/(ad-bc) * [d -b; -c a].

So, for the matrix A = [2 5; 1 3], the determinant (ad-bc) is (2*3 - 5*1) = 1.

Therefore, the inverse of A is 1/1 * [3 -5; -1 2], which simplifies to [3 -5; -1 2].

So, the correct answer is:

a. [3 -5; -1 2]

Question

The inverse of a 2x2 matrix [a b; c d] is given by 1/(ad-bc) * [d -b; -c a].

So, for the matrix A = [2 5; 1 3], the determinant (ad-bc) is (2*3 - 5*1) = 1.

Therefore, the inverse of A is 1/1 * [3 -5; -1 2], which simplifies to [3 -5; -1 2].

So, the correct answer is:

a. [3 -5; -1 2]

Knowee AI · Accepted Answer

The inverse of a 2x2 matrix [a b; c d] is given by 1/(ad-bc) * [d -b; -c a].

So, for the matrix A = [2 5; 1 3], the determinant (ad-bc) is (2*3 - 5*1) = 1.

Therefore, the inverse of A is 1/1 * [3 -5; -1 2], which simplifies to [3 -5; -1 2].

So, the correct answer is:

a. [3 -5; -1 2]

Find the inverse of the matrix A = [2 5; 1 3]. a. [3 -5; -1 2] b. [3 -1; -5 2] c. [2 -5; 1 3] d. [3 1; -5 2]