FM P2 review2.2 Matrix II

review notes
formulate a problem involving the solution of
3 linear simultaneous equations in 3 unknowns
as a problem involving the solution of a matrix
equation, or vice versa
understand the cases that may arise concerning
the consistency or inconsistency of 3 linear
simultaneous equations, relate them to the
singularity or otherwise of the corresponding
matrix, solve consistent systems, and interpret
geometrically in terms of lines and planes
understand the terms ‘characteristic equation’,
‘eigenvalue’ and ‘eigenvector’, as applied to
square matrices
find eigenvalues and eigenvectors of 2 × 2 and
3 × 3 matrices