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AP EAMCET · Maths · Matrices

What is the rank of the matrix \(\left[\begin{array}{lll}1 & 1 & 1 \\ 1 & 1 & 1 \\ 1 & 1 & 1\end{array}\right]=\) ?

  1. A 2
  2. B 1
  3. C 3
  4. D 0
Verified Solution

Answer & Solution

Correct Answer

(B) 1

Step-by-step Solution

Detailed explanation

\(A=\left[\begin{array}{lll}1 & 1 & 1 \\ 1 & 1 & 1 \\ 1 & 1 & 1\end{array}\right]\), Convert it into row echelon form by applying row transformation as follows…