determine the determinant of A= [23 15 7 4;4 4 9 7;213 -45 4 16;-43 3 5 17] 

To determine the determinant of the given 4x4 matrix \( A \):

\[
A = \begin{bmatrix} 
23 & 15 & 7 & 4 \\ 
4 & 4 & 9 & 7 \\ 
213 & -45 & 4 & 16 \\ 
-43 & 3 & 5 & 17 
\end{bmatrix}
\]

We will apply cofactor expansion or use a matrix calculator. Let's calculate it.

I'll compute this determinant for you.The determinant of the matrix \( A \) is approximately \( 444900 \).

Would you like further details on how this determinant was calculated, or do you have any other questions?

Here are five related questions you might find interesting:
1. How does cofactor expansion work for larger matrices?
2. Can the determinant help in determining if a matrix is invertible?
3. What does it mean if the determinant of a matrix is zero?
4. How are eigenvalues related to the determinant of a matrix?
5. Can determinants be used to solve systems of linear equations?

**Tip:** The determinant of a matrix can provide important information about the matrix, such as whether it is invertible or singular.

Determine the determinant of A= [23 15 7 4;4 4 9 7;213 -45 4 16;-43 3 5 17]

Learn how to calculate the determinant of the 4x4 matrix A = [23 15 7 4; 4 4 9 7; 213 -45 4 16; -43 3 5 17]. This problem involves key concepts in linear algebra such as cofactor expansion and determinant properties, ideal for undergraduate students.

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