Contact us
Back

Report Issue

Matrices

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
View Solution →
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
View Solution →
Q JEE MAIN 2025
Let $S=\left\{m \in \mathbf{Z}: A^{m^2}+A^m=3 I-A^{-6}\right\}$, where $A=\left[\begin{array}{cc}2 & -1 \\ 1 & 0\end{array}\right]$. Then $n(S)$ is equal to ______.
JEE Main Mathematics Medium
View Solution →
Q JEE MAIN 2025
Let M and N respectively be the maximum and the minimum values of $...
JEE Main Mathematics Easy
View Solution →
Q JEE MAIN 2025
Let M denote the set of all real matrices of order $3 \times 3$ and let $...
JEE Main Mathematics Hard
View Solution →
Q JEE MAIN 2025
Let A be a $3 \times 3$ matrix such that ${X^T}AX = O$ for all nonzero $3 \times 1$ matrices $...
JEE Main Mathematics Medium
View Solution →
Q JEE MAIN 2025
If the system of equations
$2x - y + z = 4$
$5x + \lambda y + 3z = 12$
$...
JEE Main Mathematics Easy
View Solution →
Q JEE MAIN 2025
If A,B, and $\left( {{\mathop{\rm adj}\nolimits} \left( {{{\rm{A}}^{ - 1}}} \right) + {\mathop{\rm adj}\nolimits} \left( {{{\rm{B}}^{ - 1}}} \right)} \right)$ are non-singular matrices of same...
JEE Main Mathematics Medium
View Solution →
Q JEE MAIN 2025
If the system of equations
$(\lambda -1)\text{x}+(\lambda -4)\text{y}+\lambda \text{z}=5$
$\lambda \text{x}+(\lambda -1)\text{y}+(\lambda -4)\text{z}=7$
$(\lambda +1)\text{x}+(\lambda +2)\text{y}-(\lambda +2)\text{z}=9$
has infinitely many solutions, then $...
JEE Main Mathematics Easy
View Solution →
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
View Solution →