Find the Determinant [[1,5],[15,25]]

Problem

det(1)

Solution

1. Identify the components of the 2×2 matrix [[a,b],[c,d]] where a=1 b=5 c=15 and d=25

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(=)*(1)*(25)−(5)*(15)

4. Multiply the terms:

det(=)*25−75

5. Subtract to find the final result:

det(=)−50

Final Answer

det(1)=−50

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