Find the Determinant [[13,0],[0,5]]

Problem

det(13)

Solution

1. Identify the components of the 2×2 matrix [[a,b],[c,d]] where a=13 b=0 c=0 and d=5

2. Apply the formula for the determinant of a 2×2 matrix, which is given by a*d−b*c

3. Substitute the values into the formula: (13)*(5)−(0)*(0)

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

Final Answer

det(13)=65

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