What is the determinant of the matrix $A=\left(\begin{array}{cc}4& -1\\ 2& 3\end{array}\right)$?

Step-by-step solution

1. Compute determinant of a 2x2 matrix: $\det (A)=ad-bc$.
2. Here, $a=4,b=-1,c=2,d=3$.
3. Plug into formula: $\det (A)=4\times 3-(-1)\times 2=12+2=14$.

Concept tested: Determinant of 2×2 matrix

Published 17 September 2026 · How this solution was prepared and checked