Mathematics · 2017
JEE Main · 9 April 2017, Shift 1 · Q64
For two 3 × 3 matrices A and B, let A + B =2 B^′ and 3 A +2 B = I_3, where B^′ is the transpose of B and I_3 is 3 × 3 identity matrix. Then:
For two $\displaystyle 3 \times 3$ matrices A and B , let $\displaystyle \mathrm{A}+\mathrm{B}=2 \mathrm{~B}^{\prime}$ and $\displaystyle 3 \mathrm{~A}+2 \mathrm{~B}=\mathrm{I}_3$, where $\displaystyle \mathrm{B}^{\prime}$ is the transpose of B and $\displaystyle \mathrm{I}_3$ is $\displaystyle 3 \times 3$ identity matrix. Then :
Official answer
(2)
$\displaystyle 10 \mathrm{~A}+5 \mathrm{~B}=3 \mathrm{I}_3$
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JEE Main 2017 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.