Determine whether the Given 3 by 3 Matrices are Nonsingular
Problem 671
Determine whether the following matrices are nonsingular or not.
(a) $A=\begin{bmatrix}
1 & 0 & 1 \\
2 &1 &2 \\
1 & 0 & -1
\end{bmatrix}$.
(b) $B=\begin{bmatrix}
2 & 1 & 2 \\
1 &0 &1 \\
4 & 1 & 4
\end{bmatrix}$.