Mathematics · 2021
JEE Main · 27 July 2021, Shift 2 · Q73
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^3 B^2= A^2 B^3, then the value of the determinant…
Let $\displaystyle A$ and $\displaystyle B$ be two $\displaystyle 3 \times 3$ real matrices such that $\displaystyle \left(A^2-B^2\right)$ is invertible matrix. If $\displaystyle A^5=B^5$ and $\displaystyle \mathrm{A}^3 \mathrm{~B}^2=\mathrm{A}^2 \mathrm{~B}^3$, then the value of the determinant of the matrix $\displaystyle \mathrm{A}^3+\mathrm{B}^3$ is equal to :
Official answer
(1)
$\displaystyle 0$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.