AP EAMCET · Maths · Matrices
The rank of \(\left[\begin{array}{ccc}2 & 1 & 1 \\ 0 & 3 & -1 \\ 1 & -1 & 1\end{array}\right]\) is
- A 1
- B 2
- C 3
- D 4
Answer & Solution
Correct Answer
(B) 2
Step-by-step Solution
Detailed explanation
\begin{aligned} & \begin{aligned} A & =\left[\begin{array}{ccc} 2 & 1 & 1 \\ 0 & 3 & -1 \\ 1 & -1 & 1 \end{array}\right] \\ R_3 \rightarrow & 2 R_3-R_1 \\ & =\left[\begin{array}{ccc} 2 & 1 & 1 \\ 0 & 3 & -1 \\ 0 & -3 & 1 \end{array}\right] \\ R_3 \rightarrow & R_3+R_2 \\ &…
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