AP EAMCET · Maths · Matrices
If \(A=\left[\begin{array}{ccccc}0 & 1 & 2 & 3 & 4 \\ 0 & 2 & 4 & 8 & 12 \\ 0 & 0 & 0 & 4 & 8\end{array}\right]\), then the rank of \(A\) is
- A \(1\)
- B \(2\)
- C \(3\)
- D \(4\)
Answer & Solution
Correct Answer
(B) \(2\)
Step-by-step Solution
Detailed explanation
\(A=\left[\begin{array}{lllll}0 & 1 & 2 & 3 & 4 \\ 0 & 2 & 4 & 8 & 12 \\ 0 & 0 & 0 & 4 & 8\end{array}\right]\) \(\mathrm{R}_2 \rightarrow \mathrm{R}_2-2 \mathrm{R}^1\)…
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