Let A and B be two 3 × 3 real matrices such that (A^2-B^2) is invertible matrix. If A^5=B^5 and...

Question

Let A and B be two 3 × 3 real matrices such that (A^2-B^2) is invertible matrix. If A^5=B^5 and A^3B^2=A^2B^3, then the value of the determinant of the matrix A^3+B^3 is equal to :

Accepted Answer

(D)

JEE Main 2021 Mathematics question

Solution