Solveeit Logo
Login

Question

Mathematics Question on Matrices

Let A and B be 2 × 2 matrices, then which of the following is correct?

A

det(A + B) + det(A - B) = 2 det(A) + 2 det(B)

B

det(A + B) + det(A - B) = det(A) + det(B)

C

det(A + B) + det(A - B) = det(A) - det(B)

D

det(A + B) + det(A - B) = 2 det(A) -2 det(B)

Answer

det(A + B) + det(A - B) = 2 det(A) + 2 det(B)

Explanation

Solution

The correct answer is(A): det(A + B) + det(A - B) = 2 det(A) + 2 det(B)