Let \(A\) and \(B\) be two \(3 \times 3\) real matrices such that \(\left(A^2-B^2\right)\) is invertible matrix. If \(A^…

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

[JEE Main 2021, 27 Jul (Shift 2)]