Find the Determinant

Problem

det(1)

Solution

1. Identify the matrix as the 4×4 identity matrix, denoted as (I_4)

2. Apply the property that the determinant of any identity matrix (I_n) is equal to 1

3. Verify by observing that the matrix is in diagonal form, where the determinant is the product of the diagonal elements.

4. Calculate the product of the diagonal entries: 1×1×1×1=1

Final Answer

det(1)=1

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