Find the Inverse of the Matrix $\left[ \begin{array} { c c c } 2 & e ^ { x } & 0 \\e ^ { x } & - e ^ { 2 x } & 0 \\0 & 0 & 1\end{array} \right]$

question 67

Essay

Find the inverse of the matrix. For what value(s) of x, if any, does the matrix have no inverse? $\left[ \begin{array} { c c c } 2 & e ^ { x } & 0 \\e ^ { x } & - e ^ { 2 x } & 0 \\0 & 0 & 1\end{array} \right]$

---

Definitions:

SS(Total)

The total sum of squares in an analysis of variance (ANOVA), representing the total variation in the data.

SST

In statistics, refers to the total sum of squares, a measure that quantifies the total variation within a dataset.

SSB

This could refer to several things depending on context; if in statistical analysis, it might not be a standard abbreviation. NO.

SSE

Sum of Squared Errors; a measure used in statistical analysis to quantify the discrepancy between the data and an estimation model.