Further Pure Mathematics 1·Cambridge A-Level

Matrices and transformations

Syllabus Learning Objectives

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Learning Outcomes

01understand the use of 2x2 matrices to represent certain geometric transformations in the x-y plane, in particular
02understand the relationship between the transformations represented by A and A–1
03recognise that the matrix product AB represents the transformation that results from the transformation represented by B followed by the transformation represented by A
04recall how the area scale factor of a transformation is related to the determinant of the corresponding matrix
05understand the meaning of ‘invariant’ as applied to points and lines in the context of transformations represented by matrices, and solve simple problems involving invariant points and invariant lines.
06find the matrix that represents a given transformation or sequence of transformations
07understand the meaning of ‘invariant’ as applied to points and lines in the context of transformations represented by matrices, and solve simple problems involving invariant points and invariant lines.