CBSE Class 12 · 2024 · DeterminantsMultiple Choice

More board questions on Determinants

1. If $\left[\begin{array}{lll}1& 2& 1\\ 2& 3& 1\\ 3& a& 1\end{array}\right]$ is a non-singular matrix and $a\in A$, then the set $A$ is:
   CBSE 2023 Copy linkView solution →
2. If $|A|=|kA|$, where $A$ is a square matrix of order $2$, then sum of all possible values of $k$ is:
   CBSE 2023 Copy linkView solution →
3. If $(a,b),(c,d)$ and $(e,f)$ are the vertices of $\Delta ABC$ and $\Delta$ denotes the area of $\Delta ABC$, then ${\left|\begin{array}{lll}a& c& e\\ b& d& f\\ 1& 1& 1\end{array}\right|}^2$ is equal to:
   CBSE 2023 Copy linkView solution →
4. If $A$ is a square matrix of order $3$ and $|A|=5$, then the value of $|2A^{\prime }|$ is:
   CBSE 2020 Copy linkView solution →
5. If $A$ is a square matrix satisfying $A^{\prime }A=I$, write the value of $|A|$.
   CBSE 2019 Copy linkView solution →
6. Find $|AB|$, if $A=\left[\begin{array}{cc}0& -1\\ 0& 2\end{array}\right]$ and $B=\left[\begin{array}{ll}3& 5\\ 0& 0\end{array}\right]$.
   CBSE 2019 Copy linkView solution →