Specialist Mathematics · Unit 1 · Matrices · Matrix arithmetic and algebra
Define and use addition and subtraction of matrices, scalar multiplication, matrix multiplication, multiplicative identity and multiplicative inverse.
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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
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Model and solve problems that involve matrices of up to dimension 2 × 2, including the solution of systems of linear equations, with and without technology.