K5FM3 Matrices and transformations personal learning checklist

Edexcel A-level Further Mathematics · Core Pure · either mandatory paper

Name ____________________ Class __________ Date __________

Tick one box per statement. Red: need help. Amber: partly confident. Green: can do independently.

I canRedAmberGreen
Matrix operations and structure
perform conformable matrix arithmetic and explain the role of dimensions and order
Linear transformations in two and three dimensions
derive planar transformation matrices from basis images and apply them to shapes
compose and distinguish planar transformations in the correct order
construct and interpret single coordinate-plane reflections and coordinate-axis rotations in three dimensions
Fixed points and invariant lines
solve fixed-point equations and distinguish pointwise fixation from set invariance
find complete invariant-line families using direction and placement conditions
Determinants, singularity and inverses
calculate determinants and interpret signed area or volume scaling accurately
derive and verify two-dimensional and three-dimensional matrix inverses
use inverse and determinant laws with parameter restrictions
Linear systems and configurations of planes
form and solve nonsingular three-variable linear systems with exact verification
classify singular systems by elimination and complete geometric solution sets
resolve parameter-dependent consistency and verify entire solution families

Next revision priority: __________________________________________________