Specialist Mathematics · Unit 1 · Matrices · Matrix arithmetic and algebra

Calculate the determinant and multiplicative inverse of 2 × 2 matrices, with and without technology. If 𝑨 = [𝑎 𝑏 𝑐 𝑑] then det(𝑨) = 𝑎𝑑 − 𝑏𝑐 𝑨−1 = [𝑎 𝑏 𝑐 𝑑]−1 = 1 det(𝑨) [ 𝑑 −𝑏 −𝑐 𝑎 ], det(𝑨) ≠ 0

Learning objective 1 of 6 in this subtopic