Mathematics · 2013
JEE Main · 22 April 2013, Shift 1 · Q85
If p, q, r are 3 real numbers satisfying the matrix equation, [p q r] [3, 4, 1; 3, 2, 3; 2, 0, 2] = [3, 0, 1], then 2 p + q - r equals:
If p, q, r are $\displaystyle 3$ real numbers satisfying the
matrix equation, [p q r] $\displaystyle \left[\begin{array}{lll}3 & 4 & 1 \\ 3 & 2 & 3 \\ 2 & 0 & 2\end{array}\right]=\left[\begin{array}{lll}3 & 0 & 1\end{array}\right]$,
then $\displaystyle 2 \mathrm{p}+\mathrm{q}-\mathrm{r}$ equals :
Official answer
(1)
$\displaystyle -3$
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JEE Main 2013 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.