AP EAMCET · Maths · Matrices
The rank of the matrix \(A=\left[\begin{array}{cccc}1 & -1 & 0 & -2 \\ -4 & 4 & 0 & 8 \\ -2 & 1 & 2 & 4\end{array}\right]\) is
- A \(1\)
- B \(0\)
- C \(3\)
- D \(2\)
Answer & Solution
Correct Answer
(D) \(2\)
Step-by-step Solution
Detailed explanation
Given, \(A=\left[\begin{array}{cccc}1 & -1 & 0 & -2 \\ -4 & 4 & 0 & 8 \\ -2 & 1 & 2 & 4\end{array}\right]\) Now, we apply elementary transformations, Applying \(R_3 \rightarrow R_3+2 R_1\) and \(R_2 \rightarrow R_2+4 R_1\),…
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