Question
 

 Evaluate $\begin{bmatrix}1&0&1\\0&0&1\\1&0&1\end{bmatrix}$ is:

  1. 2
  2. 0
  3. 1
  4. -1

Answer

  1. 0

Solution:

$\triangle=\begin{bmatrix}1&0&1\\0&0&1\\1&0&1\end{bmatrix}$

$​​\triangle=1\begin{bmatrix}0&1\\0&1\end{bmatrix}-0\begin{bmatrix}0&1\\1&1\end{bmatrix}+1\begin{bmatrix}0&0\\1&0\end{bmatrix}$

$\triangle=1(0-0)-0(0-1)+1(0-0)$

$\triangle=0-0+0=0.$

 

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