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Mathematics · 2021

JEE Main · 17 March 2021, Shift 2 · Q90

Let A = [a, b; c, d] and B = [α; β] ≠ [0; 0] such that AB = B and a + d =2021, then the value of ad - bc is equal to \ \ \ \.

Let $\displaystyle \mathrm{A}=\left[\begin{array}{ll}\mathrm{a} & \mathrm{b} \\ \mathrm{c} & \mathrm{d}\end{array}\right]$ and $\displaystyle \mathrm{B}=\left[\begin{array}{l}\alpha \\ \beta\end{array}\right] \neq\left[\begin{array}{l}0 \\ 0\end{array}\right]$ such that $\displaystyle \mathrm{AB}=\mathrm{B}$ and $\displaystyle \mathrm{a}+\mathrm{d}=2021$, then the value of $\displaystyle \mathrm{ad}-\mathrm{bc}$ is equal to \_\_\_\_.
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.