Let A be a 3 \(\times\) 3 real matrix such that \(\rm A\begin{pmatrix}1\\\ 0\\\ 1\end{pmatrix}=2\begin{pmatrix}1\\\ 0\\\ 1\end{pmatrix}, A\begin{pmatrix}-1\\\ 0\\\ 1\end{pmatrix}=4\begin{pmatrix}-1\\\ 0\\\ 1\end{pmatrix},A\begin{pmatrix}0\\\ 1\\\ 0\end{pmatrix}=2\begin{pmatrix}0\\\ 1\\\ 0\end{pmatrix}\) Then the system (A - 3I) \(\begin{pmatrix}x\\\ y\\\ z\end{pmatrix}=\begin{pmatrix}1\\\ 2\\\ 3\end{pmatrix}\) has

1
unique solution 
2
exactly two solutions 
3
no solution
4
infinitely many solutions 
5
Question Not Attempted

Sponsored

hivanix.in

Visit

This quiz is brought to you by hivanix.in

🌐 Web App Development

Quick Navigation