AP EAMCET · Maths · Matrices
If the ranks of the matrices \(A=\left[\begin{array}{ccc}1 & 0 & 1 \\ 2 & 1 & 2 \\ 1 & 0 & -1\end{array}\right]\) and \(B=\left[\begin{array}{cccc}1 & 2 & 3 & 4 \\ 2 & 4 & 6 & -8\end{array}\right]\) are \(r_1\) and \(r_2\) respectively then \(r_1-r_2=\)
- A 0
- B 1
- C 2
- D 3
Answer & Solution
Correct Answer
(B) 1
Step-by-step Solution
Detailed explanation
\(A=\left[\begin{array}{ccc}1 & 0 & 1 \\ 2 & 1 & 2 \\ 1 & 0 & -1\end{array}\right]\) \[ |\mathrm{A}|=1(-1-0)+1(0-1)=-1-1=-2=0 \] \(\therefore\) Rank of \(\mathrm{A}\left(\mathrm{r}_1\right)=3\)…
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