A-Level Further Maths Edexcel 9FM0

3: Matrices

#3.1

Matrix operations

Add, subtract and multiply conformable matrices.

Multiply a matrix by a scalar.

#3.2

Zero and identity matrices

Understand and use zero and identity matrices.

#3.3

Linear transformations

Use matrices to represent linear transformations in 2-D.

Successive transformations.

Single transformations in 3-D.

#3.4

Invariant points and lines

Find invariant points and lines for a linear transformation.

#3.5

Determinants

Calculate determinants of 2 x 2 and 3 x 3 matrices and interpret as scale factors, including the effect on orientation.

#3.6

Inverse matrices

Understand and use singular and non-singular matrices.

Properties of inverse matrices.

Calculate and use the inverse of non-singular 2 x 2 matrices and 3 x 3 matrices.

#3.7

Solve simultaneous equations in three variables

Solve three linear simultaneous equations in three variables by use of the inverse matrix.

#3.8

Geometric interpretation of solution of three simultaneous equations

Interpret geometrically the solution and failure of solution of three simultaneous linear equations.

2
Complex numbers
4
Further algebra and functions