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The image shows a matrix problem where you're asked to find the inverse of the given matrix. The matrix appears to be:

\[
\begin{pmatrix}
1 & 3 & 7 & 8 \\
6 & 2 & 8 & 1 \\
10 & 3 & 2 & 7 \\
16 & 0 & 12 & 15
\end{pmatrix}
\]

To find the inverse of a 4x4 matrix, there are several methods such as using the Gauss-Jordan elimination method or the adjugate matrix method. Given the size and complexity, the Gauss-Jordan method is typically more straightforward for hand calculation.

Would you like a step-by-step solution for finding the inverse of this matrix using one of these methods?

### Here are some related questions you might consider:
1. What is the determinant of the given 4x4 matrix?
2. How can you verify if a matrix has an inverse?
3. Can we use the adjugate method to find the inverse? If so, how?
4. What are the properties of the inverse of a matrix?
5. How can you apply matrix inversion in solving systems of linear equations?

**Tip:** When finding the inverse of a matrix by hand, it's crucial to first check if the determinant is non-zero, as a zero determinant indicates that the matrix is singular and does not have an inverse.

Find the inverse of the given 4x4 matrix.

This tutorial guides you through the process of finding the inverse of a 4x4 matrix using the Gauss-Jordan elimination method. It covers essential linear algebra concepts and theorems, such as the inverse matrix formula and determinant calculation. Ideal for students in Grades 11-12.

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