AP EAMCET · Maths · Matrices
A value of \(b\) for which the rank of the matrix \(A=\left[\begin{array}{cccc}1 & 1 & -1 & 0 \\ 4 & 4 & -3 & 1 \\ b & 2 & 2 & 2 \\ 9 & 9 & b & 3\end{array}\right]\) is 3 , is
- A -2
- B -4
- C -6
- D 3
Answer & Solution
Correct Answer
(C) -6
Step-by-step Solution
Detailed explanation
Given, \[ A=\left[\begin{array}{cccc} 1 & 1 & -1 & 0 \\ 4 & 4 & -3 & 1 \\ b & 2 & 2 & 2 \\ 9 & 9 & b & 3 \end{array}\right] \] For rank to be 3, there must exist 3 non zero row. Now, applying \(R_2 \rightarrow R_2-4 R_1 ; R_3 \rightarrow R_3-2 R_1\)…
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