https://file.aiquickdraw.com/mathbot/file/1726658944452fsr94nz0.jpg

The image shows a 4x4 matrix along with indices \( i = 1 \) and \( j = 4 \).

The matrix is:
\[
\begin{pmatrix}
1 & 8 & 2 & -3 \\
3 & -2 & 0 & 4 \\
5 & -3 & 7 & -1 \\
3 & 2 & 0 & 2
\end{pmatrix}
\]

The notation \( i = 1 \) and \( j = 4 \) likely refers to the element located at the intersection of the first row and the fourth column in this matrix. In this case, the element is \(-3\) (the element in the first row and fourth column).

Would you like further details on this matrix or have any specific questions?

Here are 5 related questions:
1. What is the determinant of this 4x4 matrix?
2. How do you compute the inverse of this matrix, if it exists?
3. What is the rank of this matrix?
4. Can you find the eigenvalues of this matrix?
5. What is the minor of the element at \( i = 1, j = 4 \)?

**Tip**: When working with matrices, understanding how to calculate determinants and inverses can be useful in solving systems of linear equations.

Given a 4x4 matrix and indices i=1, j=4, what is the corresponding element in the matrix?

Learn how to identify the matrix element at position (i=1, j=4) in a given 4x4 matrix. This problem demonstrates matrix element identification and is suitable for students in Grades 10-12.

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