AP EAMCET202317 May 2023Evening ShiftMathematicsMatricesActual
The rank of the matrix A= [ array cccc 1 & 1 & 1 & 3 2 & 2 & -1 & 3 1 & 1 & -1 & 1 array ] is
Options
- A3
- B2
- C4
- D1
Correct answer
B. 2
Step-by-step solution
The given matrix is A= [ array cccc 1 & 1 & 1 & 3 2 & 2 & -1 & 3 1 & 1 & -1 & 1 array ] R ₂ 2 R ₁- R ₂, R ₃ R ₁- R ₃A= [ array llll 1 & 1 & 1 & 3 0 & 0 & 3 & 3 0 & 0 & 2 & 2 array ] R ₂ R ₂ 3 , R₃ R ₃ 2 [ array llll 1 & 1 & 1 & 3 0 & 0 & 1 & 1 0 & 0 & 1 & 1 array ] Rank (A)= No of non-zero rows =2 [ array llll 1 & 1 & 1 & 3 0 & 0 & 1 & 1 0 & 0 & 0 & 0 array ]