Find the Determinant

Problem

det(5)

Solution

1. Identify the rows of the matrix. Let the matrix be A

2. Observe that the first row (R_1)=[5,0,6,4] and the fourth row (R_4)=[5,0,6,4] are identical.

3. Apply the property of determinants which states that if a matrix has two identical rows, its determinant is equal to zero.

4. Conclude that because (R_1)=(R_4) the determinant must be 0

Final Answer

det(5)=0

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