Skill |
Type |
Description |
Source |

7.1 Introduction to Matrices |
Workbook |
Express a system of linear equations in matrix form + recognise and use the basic terminology associated with matrices + carry out addition and subtraction with two given matrices or state that the operation is not possible |
HELM |

8.1 Solution by Cramer�s Rule |
Workbook |
State and apply Cramer�s rule to find the solution of two simultaneous linear equations + state and apply Cramer�s rule to find the solution of three simultaneous linear equations + recognise cases where the solution is not unique or a solution does not |
HELM |

Using the Inverse Matrix to Solve Equations |
Worksheet |
This leaflet explains how simultaneous linear equations can be solved by calculating the inverse of an appropriate matrix |
MathsCentre |

7.2 Matrix Multiplication |
Workbook |
Decide when the product AB exists + recognise that AB 6= BA in most cases + carry out the multiplication AB + explain what is meant by the identity matrix I |
HELM |

8.2 Solution by Inverse Matrix Method |
Workbook |
Use the inverse matrix of coefficients to solve a system of two linear simultaneous equations + use the inverse matrix of coefficients to solve a system of three linear simultaneous equations + recognise and identify cases where there is no solution |
HELM |

Determinants |
Worksheet |
This leaflet explains what is meant by a determinant and shows how it can be evaluated |
MathsCentre |

7.3 Determinants |
Workbook |
Evaluate a 2 � 2 determinant + use the method of expansion along the top row to evaluate a determinant + use the properties of determinants to aid their evaluation |
HELM |

8.3 Solution by Gauss Elimination |
Workbook |
Identify the row operations which allow the reduction of a system of linear equations to upper triangular form + use back-substitution to solve a system of equations in echelon form + understand and use the method of Gauss elimination to solve a system |
HELM |

The Inverse of A 2x2 Matrix |
Worksheet |
This leaflet explains what is meant by the inverse of a 2x2 matrix and how this can be found using a formula |
MathsCentre |

7.4 The Inverse of a Matrix |
Workbook |
State the condition for the existence of an inverse matrix + use the formula for finding the inverse of a 2 � 2 matrix + find the inverse of a 3 � 3 matrix using row operations and using the determinant method |
HELM |

The Inverse of A Matrix |
Worksheet |
This leaflet explains what is meant by the inverse of a matrix and how this can be calculated |
MathsCentre |

Multiplying Matrices |
Worksheet |
This leaflet explains how to multiply two matrices together |
MathsCentre |

Cramer's Rule |
Worksheet |
Cramer's rule can be used to solve simultaneous equations using determinants. This leaflet states and illustrates the rule |
MathsCentre |