For what value of k is the matrix [ array ccc 2 2 & 2 2 & 6 1-2 ^2 & 2 ^2 -1 & 3 k & 2 k & 1 array ] singular?

Step-by-step solution

| array ccc 2 2 & 2 2 & 6 1-2 ^2 & 2 ^2 -1 & 3 k & 2 k & 1 array |= | array ccc 2 ^2 & 2 ^2 & 6 ^2 & ^2 & 3 k & 2 k & 1 array |=0 ( R₁ . and R₂ are identical ) Hence, for any real value of k the given matrix is singular.