Find the Inverse of the Matrix $\left[ \begin{array} { l l } 3 & x \\x & x ^ { 2 }\end{array} \right]$

question 116

Essay

Find the inverse of the matrix. For what value(s) of x, if any, does the matrix have no inverse? $\left[ \begin{array} { l l } 3 & x \\x & x ^ { 2 }\end{array} \right]$

---

Definitions:

Direct Labor Wage Variance

The difference between the actual cost of direct labor and the expected (or standard) cost, used in budgeting and financial analysis.

Total Labor Variance

The difference between the actual labor costs and the standard or budgeted labor costs for a production process.

U-bolts

Metal fasteners in the shape of the letter U, used to secure pipes or other round objects to surfaces.

Standard Costs

Costs that are predetermined on a per-unit basis. Standard costs are used as a benchmark for evaluating performance. These costs are often used in or are the output from the budgeting process.