## Matrices

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

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