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Question Number 211902 by Gangadhar last updated on 23/Sep/24

Commented by BHOOPENDRA last updated on 24/Sep/24

$$3$$

Answered by BHOOPENDRA last updated on 24/Sep/24

$$\left[\begin{array}{cc}12& 3\\ 34& 4\\ 710& 12\end{array}\right]$$$$\left[\begin{array}{ccc}3& 6& 9\\ 3& 4& 4\\ 7& 10& 12\end{array}\right]multiplyfirstrowby3$$$$\left[\begin{array}{ccc}1& 2& 3\\ 0& -2& -5\\ 7& 10& 12\end{array}\right]row1-row2$$$$\left[\begin{array}{ccc}7& 14& 21\\ 0& -2& -5\\ 7& 10& 12\end{array}\right]row1\times 7$$$$\left[\begin{array}{ccc}1& 2& 3\\ 0& -2& -5\\ 0& -4& -9\end{array}\right]subractrow1from3row$$$$\left[\begin{array}{ccc}1& 2& 3\\ 0& -4& -10\\ 0& -4& -9\end{array}\right]2ndrow\times 2$$$$\left[\begin{array}{ccc}1& 2& 3\\ 0& -2& -5\\ 0& 0& 1\end{array}\right]$$$$sub2ndrowfrom3rdrow\mathrm{\&}restore2ndrow$$$$\left[\begin{array}{ccc}1& 2& 3\\ 0& -2& -5\\ 0& 0& 1\end{array}\right]$$$$matrixrank=3$$$$$$$$$$

Commented by Spillover last updated on 24/Sep/24

$$correct$$

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