$$\begin{bmatrix} 2 & .01 & 200 & 12*10^-6 \\ 3 & .015 & 70 & 12*10^-6 \\ 4 & .02 & 200 & 12*10^-6 \\ 1 & .01 & 70 & 12*10^-6 \end{bmatrix}$$
You asked:
Evaluate the expression: \(\begin{bmatrix}2 & .01 & 200 & 12 \cdot {10}^{-6} \\ 3 & .015 & 70 & 12 \cdot {10}^{-6} \\ 4 & .02 & 200 & 12 \cdot {10}^{-6} \\ 1 & .01 & 70 & 12 \cdot {10}^{-6}\end{bmatrix}\)
MathBot Answer:
You have entered a numeric matrix.
The determinant of the matrix is \(\frac{39}{2500000}\).
The inverse of the matrix is: \[\left[\begin{matrix}\frac{1}{2} & 1 & - \frac{1}{2} & -1\\-200 & -200 & 200 & 200\\\frac{1}{260} & - \frac{1}{130} & \frac{1}{260} & 0\\\frac{4000000}{39} & \frac{5000000}{39} & - \frac{5750000}{39} & 0\end{matrix}\right]\]
The matrix has the following properties:
The matrix is square.