Find the Determinant [[4,5],[0,0]]

Problem

det(4)

Solution

1. Identify the components of the 2×2 matrix [[a,b],[c,d]] where a=4 b=5 c=0 and d=0

2. Apply the formula for the determinant of a 2×2 matrix, which is det(A)=a*d−b*c

3. Substitute the values into the formula:

det(A)=(4)*(0)−(5)*(0)

4. Simplify the expression by performing the multiplication and subtraction:

det(A)=0−0

det(A)=0

Final Answer

det(4)=0

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