TS EAMCET · Maths · Matrices
If the matrix \(A=\left[\begin{array}{cccc}1 & 2 & 3 & 0 \\ 2 & 4 & 3 & 2 \\ 3 & 2 & 1 & 3 \\ 6 & 8 & 7 & \alpha\end{array}\right]\) is of rank 3, then \(\alpha\) equals to
- A \(-5\)
- B \(5\)
- C \(4\)
- D \(1\)
Answer & Solution
Correct Answer
(B) \(5\)
Step-by-step Solution
Detailed explanation
Given, \(A=\left[\begin{array}{cccc}1 & 2 & 3 & 0 \\ 2 & 4 & 3 & 2 \\ 3 & 2 & 1 & 3 \\ 6 & 8 & 7 & \alpha\end{array}\right]\) Applying \(R_2 \rightarrow R_2-2 R_1, \quad R_3 \rightarrow R_3-3 R_1 \quad\) and…
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