CBSE Class 12 · 2006 · DeterminantsLong Answer

More board questions on Determinants

1. If $A$ is a square matrix of order $2$ and $|A|=-2$, then the value of $|5A|$ is:
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2. 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:
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3. If $|A|=|kA|$, where $A$ is a square matrix of order $2$, then sum of all possible values of $k$ is:
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4. 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:
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5. If $A$ is a square matrix of order $3$ and $|A|=5$, then the value of $|2A^{\prime }|$ is:
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6. If $A$ is a square matrix satisfying $A^{\prime }A=I$, write the value of $|A|$.
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