Find the determinant of the matrix M=\begin{pmatrix}7&3\-2&5\end{\pmatrix}.

Step-by-step solution

1. Compute the product of the main diagonal: $7\times 5=35$.
2. Compute the product of the other diagonal: $(-2)\times 3=-6$.
3. Subtract the second product from the first: $35-(-6)=35+6=41$.

Concept tested: Determinant of a $2\times2$ matrix

Published 13 October 2026 · How this solution was prepared and checked