AP EAMCET · Maths · Matrices
The rank of the matrix \(\left[\begin{array}{cccc}2 & -3 & 4 & 0 \\ 5 & -4 & 2 & 1 \\ 1 & -3 & 5 & -4\end{array}\right]\) is
- A \(0\)
- B \(3\)
- C \(2\)
- D \(1\)
Answer & Solution
Correct Answer
(B) \(3\)
Step-by-step Solution
Detailed explanation
\(R_2 \leftarrow R_2 - 5R_1\) \(R_3 \leftarrow R_3 - 2R_1\) \(\\left[\\begin{array}{cccc}1 & -3 & 5 & -4 \\\\ 0 & 11 & -23 & 21 \\\\ 0 & 3 & -6 & 8\\end{array}\\right]\\) \(R_3 \leftarrow 11R_3 - 3R_2\)…
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