AQA•A-Level•Further Maths
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Matrices
Matrix algebra, transformations, inverses, and eigenvalues
Practice 36 subtopics in Matrices. All questions match the AQA A-Level specification.
About Matrices
Matrices is a key topic in the AQA A-Level Further Mathsspecification. This topic covers matrix algebra, transformations, inverses, and eigenvalues.
Master all 36 subtopics below with unlimited AI-generated questions. Each subtopic page includes sample questions and the ability to generate unlimited practice questions with detailed solutions.
All Subtopics (36)
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Matrix addition and subtractionScalar multiplicationMatrix multiplicationConformability for multiplicationThe identity matrix IZero matrixDeterminant of 2x2 matrix: ad - bcInverse of 2x2 matrixSingular matrices (det = 0)Solving 2x2 simultaneous equationsDeterminant of 3x3 matrixCofactors and minorsAdjugate matrixInverse of 3x3 matrixSolving 3x3 systems using matricesMatrices as linear transformationsTransformation matrices in 2DRotation matricesReflection matricesEnlargement matricesShear matricesCombining transformationsInverse transformationsTransformation matrices in 3DRepresenting systems as matrix equationsConsistent systems (unique solution)Inconsistent systems (no solution)Systems with infinitely many solutionsGeometric interpretation of solutionsCharacteristic equationFinding eigenvaluesFinding eigenvectorsProperties of eigenvaluesDiagonalisationPowers of matrices using diagonalisationCayley-Hamilton theorem
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