P = [[1, 2, 2], [- 3, - 1, 1], [13, - 4, - 2]]    Inverse 

The inverse of matrix \( P \) is:

\[
P^{-1} = \begin{bmatrix}
0.0857 & -0.0571 & 0.0571 \\
0.1 & -0.4 & -0.1 \\
0.3571 & 0.4286 & 0.0714
\end{bmatrix}
\]

Would you like more details on how matrix inversion works or have any other questions?

Here are 5 related questions you might find interesting:
1. How do you verify if a matrix is invertible?
2. What is the determinant of the given matrix \( P \)?
3. Can every square matrix be inverted?
4. How are matrix inverses used in solving systems of linear equations?
5. What is the relationship between the determinant and the inverse of a matrix?

**Tip:** The inverse of a matrix exists only if its determinant is non-zero.

P = [[1, 2, 2], [-3, -1, 1], [13, -4, -2]] Inverse

Learn how to compute the inverse of the 3x3 matrix P = [[1, 2, 2], [-3, -1, 1], [13, -4, -2]]. This detailed solution includes key concepts from linear algebra, such as the determinant, adjugate matrix, and matrix inversion formula. Suitable for advanced high school or undergraduate students.

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