⎡
⎢
⎣
1
0
3
1
2
1
4
2
1
5
3
4
8
1
2
⎤
⎥
⎦
=

The given matrix is:

\[
\begin{bmatrix}
1 & 0 & 3 & 1 \\
2 & 1 & 4 & 2 \\
1 & 5 & 3 & 4 \\
8 & 1 & 2 & 1
\end{bmatrix}
\]

If you need a specific operation or transformation applied to this matrix, such as finding the determinant, inverse, transpose, or performing matrix multiplication, let me know what you're looking for!

### Would you like to:
1. Find the determinant of the matrix?
2. Calculate the inverse of the matrix (if it exists)?
3. Compute the transpose of the matrix?
4. Perform matrix-vector multiplication?
5. Carry out any other matrix operations?

**Tip**: A square matrix (n × n) can have an inverse if and only if its determinant is non-zero.

The query submitted by the user:⎡
⎢
⎣
1
0
3
1
2
1
4
2
1
5
3
4
8
1
2
⎤
⎥
⎦
=

Explore the fundamental matrix operations including finding the determinant, inverse, and transpose of a 4x4 matrix. This problem covers key linear algebra concepts, essential formulas, and theorems. Suitable for students in Grades 11-12 and college.

Math Problem Statement

⎡ ⎢ ⎣ 1 0 3 1 2 1 4 2 1 5 3 4 8 1 2 ⎤ ⎥ ⎦

Solution

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