Calculate the determinant of a 4x4 matrix.

The determinant of the given 4x4 matrix is calculated using cofactor expansion along the fourth row, resulting in a determinant of -21.

Answer

Here’s how to calculate the determinant of the given matrix:

The given matrix is:

We can compute the determinant using cofactor expansion along the last row:

where

represents the cofactor of the element in the

-th row and

-th column.

Now, substitute the cofactors back into the determinant formula:

Final Answer: The final answer is

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