In the name of ALLAH, the most beneficient, the most merciful

Linear Algebra (MTH501)

Question (select most suitable option)

  If \( A = \begin{bmatrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & k & 1 \\ \end{bmatrix} \), then which of the following is true for the matrix?
det(A) = 1
det(A) = k - 1
det(A) = k
det(A) = k + 1