Find the Determinant det [[x,0],[7,4]]=16

Problem

det(x)=16

Solution

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

x(4)−(0)*(7)=16

2. Simplify the left side of the equation by performing the multiplication.

4*x−0=16

3. Solve for x by dividing both sides of the equation by 4

x=16/4

4. Calculate the final value.

x=4

Final Answer

det(x)=16⇒x=4

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