6 votes 6 votes The rank of the matrix $A=\begin{pmatrix} 1 & 2 & 1 & -1\\ 9& 5& 2& 2\\ 7& 1& 0 & 4 \end{pmatrix}$ is ______ . $0$ $1$ $2$ $3$ Linear Algebra matrix linear-algebra isro2014 rank-of-matrix + – Isha Gupta asked Jun 23, 2016 • edited Dec 8, 2022 by Lakshman Bhaiya Isha Gupta 4.6k views answer comment Share Follow See all 9 Comments See all 9 9 Comments reply Show 6 previous comments LeenSharma commented Jun 23, 2016 reply Follow Share tell if any mistake there in matrix. i will edit and post answer. 0 votes 0 votes LeenSharma commented Jun 23, 2016 reply Follow Share $\begin{pmatrix} 1 & 2 & 1 & -1\\ 9& 5& 2& 2\\ 7& 1& 0 & 4 \end{pmatrix}$ check it now. 0 votes 0 votes Isha Gupta commented Jun 23, 2016 reply Follow Share ccorrect 0 votes 0 votes Please log in or register to add a comment.
Best answer 8 votes 8 votes Rank of Matrix is 2. That's 2. ManojK answered Jun 23, 2016 • edited Jun 23, 2016 by ManojK ManojK comment Share Follow See all 11 Comments See all 11 11 Comments reply Show 8 previous comments ManojK commented Nov 21, 2016 reply Follow Share https://www.youtube.com/watch?v=24Jin6qm05o 0 votes 0 votes ManojK commented Nov 21, 2016 reply Follow Share @ cse7 .Check this lecture. 0 votes 0 votes Prateek kumar commented Jan 5, 2017 reply Follow Share are you sure that once you once you find ROW ECHELON FORM no need to reduce further?? 0 votes 0 votes Please log in or register to add a comment.
3 votes 3 votes R3 + 2R1 and then R3-R2. We get last row as zero. Hence, rank is 2. Sushant Gokhale answered Sep 13, 2016 Sushant Gokhale comment Share Follow See all 0 reply Please log in or register to add a comment.