For the matrix P= pmatrix 1 & 0 & 2 0 & 3 & -1 4 & 0 & k pmatrix

MATHEMATICS · Subjective · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

For the matrix

P=\begin{pmatrix}1 & 0 & 2\\ 0 & 3 & -1\\ 4 & 0 & k\end{pmatrix},

determine the value(s) of

k

for which

P

is invertible.