Find the Determinant And, If Possible, the Inverse of the Matrix

question 98

Essay

Find the determinant and, if possible, the inverse of the matrix. $$\left[ \begin{array} { c c c } 1 & 0 & 0 \\1 & 3 & 1 \\- 1 & - 2 & 0\end{array} \right]$$

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Definitions:

Idle Capacity

Unused production capability, where available resources such as machinery or labor are not fully utilized.

Financial Advantage

Refers to the benefit gained in financial terms, which could be through cost savings, revenue increase, or any other financial gain.

Special Discounted Price

A lower than the usual price offered on goods or services, typically for promotional purposes or to specific customer groups.

Milling Machines

A type of machine tool used to machine solid materials, such as metal, by removing material to form shapes.