COMEDK2023MathematicsMatrices
If A= [ array cc k+1 & 2 4 & k-1 array ] is a singular matrix, then possible values of k are
Options
- A1
- B2
- C3
- D4
Correct answer
C. 3
Step-by-step solution
Given, A= [ array cc k+1 & 2 4 & k-1 array ] is a singular matrix. aligned & |A|=0 & | array cc k+1 & 2 4 & k-1 array |=0 & (k+1)(k-1)-4 2=0 & k^2-1-8=0 & k^2-9=0 & k^2=9 & k= 3 & aligned