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? $\left[ \begin{array} { l l } 3 & x \\x & x ^ { 2 }\end{array} \right]$

Recognize the impact of sample size, standard deviation, and confidence level on the margin of error and interval length.

Identify how population distribution characteristics (e.g., Normal distribution, skewness) affect confidence interval estimation.

Apply the concept of margin of error in determining sample size for a desired confidence interval precision.

Differentiate between confidence intervals with varying confidence levels and their implications on the margin of error.

---

Definitions:

Good Y

A general term used to represent a specific product or commodity in economic models or discussions.

Demand Function

A mathematical representation that describes the relationship between the quantity of a good that consumers are willing and able to purchase at various prices, holding other factors constant.

Income Elasticity

A measure of how much the demand for a product changes in response to a change in consumers' income.

Income Elasticity

A measure of how the quantity demanded of a good or service changes in response to a change in consumer income.