$$\begin{bmatrix} 1 & -x & 1-x & 0 \\\\ x & 1 & x+1 & 0 \\\\ 0 & x & -x & 1 \\\\ 0 & -2x & 2x & -1 \end{bmatrix}$$
what is determinant of this matrix?
MathBot Answer:
The determinant of the matrix is: \[ \operatorname{det} = - 2 x^{3} - 2 x \]
$$\begin{bmatrix} 1 & -x & 1-x & 0 \\\\ x & 1 & x+1 & 0 \\\\ 0 & x & -x & 1 \\\\ 0 & -2x & 2x & -1 \end{bmatrix}$$
what is determinant of this matrix?
MathBot Answer:
The determinant of the matrix is: \[ \operatorname{det} = - 2 x^{3} - 2 x \]