Compute the determinant of the matrix $\left[\begin{array}{cc}3& 5\\ 2& 7\end{array}\right]$

Step-by-step solution

1. Identify the elements a=3, b=5, c=2, d=7.
2. Apply the formula det = ad − bc.
3. Compute a×d = 3×7 = 21.
4. Compute b×c = 5×2 = 10.
5. Subtract to get 21−10 = 11.

Concept tested: Determinant of a 2×2 matrix

Published 3 September 2026 · How this solution was prepared and checked