Matrix algebra and systems of equations
Specialist Mathematics · Unit 3 — Further complex numbers, proof, vectors and matrices · Further matrices
Learning objectives (5)
LO-1Calculate the determinant and multiplicative inverse of square matrices of any order, with technology.LO-2Examine the three cases for solutions of systems of equations — a unique solution, no solution and infinitely many solutions — and the geometric interpretation of a solution of a system of equations with three variables including a unique solution no solution infinitely many solutionsLO-3Model and solve problems that involve matrices of beyond dimension 2 × 2, including the solution of systems of linear equations, with technology.LO-4Use matrix algebra to solve matrix equations that involve matrices of beyond dimension 2 × 2, including those of the form 𝑨𝑿 = 𝑩, 𝑿𝑨 = 𝑩 and 𝑨𝑿 + 𝑩𝑿 = 𝑪, with technology.LO-5Use the determinant to determine whether a square matrix of any order is singular or non- singular.
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