1  1  1                 解答线代题
1  1  -1
1  -1  1

给定的矩阵是：

\[
A = \begin{pmatrix}
1 & 1 & 1 \\
1 & 1 & -1 \\
1 & -1 & 1
\end{pmatrix}
\]

你想要解答的线性代数题目可以是多种类型的，比如：

- 求行列式（determinant）
- 求逆矩阵（if it exists）
- 求特征值和特征向量
- 矩阵的秩（rank）

请你告诉我具体想要解答哪一类问题，或者你有其他的问题。

Learn how to solve linear algebra problems involving matrices. This matrix problem can include finding the determinant, inverse, eigenvalues, and rank. Suitable for high school students in Grades 11-12.

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