Evaluate each determinant in Exercises 1–10. - 7 14 2 - 4

Verified step by step guidance

1. Identify the 2x2 matrix: \( \begin{bmatrix} -7 & 14 \\ 2 & -4 \end{bmatrix} \).
2. Recall the formula for the determinant of a 2x2 matrix: \( ad - bc \), where \( a, b, c, \) and \( d \) are the elements of the matrix.
3. Assign the values: \( a = -7 \), \( b = 14 \), \( c = 2 \), and \( d = -4 \).
4. Substitute these values into the determinant formula: \( (-7)(-4) - (14)(2) \).
5. Simplify the expression by performing the multiplications and then the subtraction.