Let A= [ array cccc 1 & 0 & -1 & -3 0 & 1 & 1 & k-1 0 & 0 & k-1 & 1 array ] and k R . Then, the value of k , if exists, for which the rank of A is 2 , is

Step-by-step solution

Given, A= [ array cccc 1 & 0 & -1 & -3 0 & 1 & 1 & k-1 0 & 0 & k-1 & 1 array ] Applying R₂ R₂+R₃ , A= [ array cccc 1 & 0 & -1 & -3 0 & 1 & k & k 0 & 0 & k-1 & 1 array ] The value of k does not exists as the rank of 2 is not possible in this case.