AP EAMCET · Maths · Matrices
The rank of the following matrix \(A\) is
\[
A=\left[\begin{array}{cccc}
1 & -2 & 3 & -4 \\
2 & 9 & 4 & 5 \\
4 & 5 & 10 & -3 \\
1 & 11 & -1 & 9
\end{array}\right\rfloor
\]
- A 4
- B 3
- C 2
- D 1
Answer & Solution
Correct Answer
(B) 3
Step-by-step Solution
Detailed explanation
Given matrix \(A=\left[\begin{array}{cccc}1 & -2 & 3 & -4 \\ 2 & 9 & 4 & 5 \\ 4 & 5 & 10 & -3 \\ 1 & 11 & -1 & 9\end{array}\right]\) \(R_3 \rightarrow R_3-\left(R_2+2 R_1\right)\) and \(R_4 \rightarrow R_4-\left(R_2-R_1\right)\) or…
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