Use technology to find the inverse of the given matrix (when it exists). Round all entries in your answer to two decimal places. (Caution: Because of rounding errors, technology sometimes produces an "inverse" of a singular matrix. These often can be recognized by their huge entries. If the inverse doesn't exist, enter DNE in any cell of the matrix.)

[3.59	1.22

−1.02	0]

The inverse of the given matrix, rounded to two decimal places, is:

\[
\begin{pmatrix}
-0.00 & -0.98 \\
0.82 & 2.88
\end{pmatrix}
\]

Let me know if you'd like further details or have any questions!

Here are 5 related questions for practice:
1. What conditions must be met for a matrix to have an inverse?
2. How do you calculate the determinant of a 2x2 matrix?
3. What does it mean if a matrix has no inverse (i.e., is singular)?
4. How can you verify if the calculated inverse is correct?
5. How does the inverse of a matrix relate to solving systems of linear equations?

**Tip:** For a 2x2 matrix, the inverse exists if and only if the determinant is non-zero. Always check the determinant first!

Use technology to find the inverse of the given matrix (when it exists). Round all entries in your answer to two decimal places. (Caution: Because of rounding errors, technology sometimes produces an 'inverse' of a singular matrix. These often can be recognized by their huge entries. If the inverse doesn't exist, enter DNE in any cell of the matrix.)
[3.59 1.22
−1.02 0]

Discover how to find the inverse of a 2x2 matrix using technology, with solutions rounded to two decimal places. This problem involves calculating the determinant and applying the inverse matrix formula. Suitable for high school students learning linear algebra concepts.

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