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Determinants

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2025
The system of equations $x+y+z=6$, $x+2 y+5 z=9$, $x+5 y+\lambda z=\mu$, has no solution if
JEE Main Mathematics Easy
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Q JEE MAIN 2025
Let $\mathrm{A}=\left[\mathrm{a}_{\mathrm{ij}}\right]$ be a $3 \times 3$ matrix such that $\mathrm{A}\left[\begin{array}{l}0 1 0\end{array}\right]=\left[\begin{array}{l}0 0 1\end{array}\right], \mathrm{A}\left[\begin{array}{l}4 1 3\end{array}\right]=\left[\begin{array}{l}0 1 0\end{array}\right]$ and $...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
Let $A = \left[ {{a_{ij}}} \right] = \left[ {\begin{array}{*{20}{c}} {{{\log }_5}128}&{{{\log }_4}5}\\ {{{\log }_5}8}&{{{\log }_4}25} \end{array}} \right]$.
If ${A_{ij}}$ is the cofactor of $...
JEE Main Mathematics Medium
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Q JEE MAIN 2025
If the system of linear equations : $$ \begin{aligned} & x+y+2 z=6 \\ & 2 x+3 y+a z=a+1 \\ & -x-3 y+b z=2 b \end{aligned}...
JEE Main Mathematics Medium
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Q JEE MAIN 2025
For a $3 \times 3$ matrix $M$, let trace $(M)$ denote the sum of all the diagonal elements of $M$. Let $A$ be a $...
JEE Main Mathematics Easy
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