Mathematics · 2021
JEE Main · 24 February 2021, Shift 2 · Q67
Let A and B be 3 × 3 real matrices such that A is symmetric matrix and B is skew-symmetric matrix. Then the system of linear equations ( A^2 B^2- B^2…
Let A and B be $\displaystyle 3 \times 3$ real matrices such that A is symmetric matrix and B is skew-symmetric matrix. Then the system of linear equations $\displaystyle \left(\mathrm{A}^2 \mathrm{~B}^2-\mathrm{B}^2 \mathrm{~A}^2\right) \mathrm{X}=\mathrm{O}$, where X is a $\displaystyle 3 \times 1$ column matrix of unknown variables and O is a $\displaystyle 3 \times 1$ null matrix, has :
Official answer
(4)
infinitely many solutions
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.