If A=⎡⎣⎢5−11−101−221−34⎤⎦⎥
, then

It seems like you're providing a matrix \( A \) and asking for a specific operation or property of it. The matrix \( A \) you provided is:

\[
A = \begin{bmatrix}
5 & -1 & 1 \\
-10 & 1 & -2 \\
1 & -3 & 4
\end{bmatrix}
\]

Could you clarify what you'd like to do with this matrix? Here are some possibilities:

1. Find the determinant of \( A \)?
2. Find the inverse of \( A \)?
3. Perform row reduction (e.g., Gaussian elimination)?
4. Find the eigenvalues and eigenvectors of \( A \)?
5. Check whether \( A \) is diagonalizable?

Let me know what you'd like to do with this matrix!

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### 5 Related Questions:
1. What is the determinant of this 3x3 matrix?
2. How can we solve for the eigenvalues and eigenvectors of matrix \( A \)?
3. What is the rank of the matrix \( A \)?
4. How can we compute the inverse of \( A \) using cofactor expansion?
5. Can this matrix be diagonalized, and if so, what would the diagonal matrix look like?

**Tip:** When working with matrices, always check their rank before determining whether they are invertible.

If A = ⎡⎣⎢5−11−101−221−34⎤⎦⎥, then

Explore matrix operations on A = ⎡5 −1 1⎤, including finding the determinant, inverse, and eigenvalues. This page explains how to apply key concepts of linear algebra to solve matrix problems for students at the undergraduate level.

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