All qualifications and part qualifications registered on the National Qualifications Framework are public property. Thus the only payment that can be made for them is for service and reproduction. It is illegal to sell this material for profit. If the material is reproduced or quoted, the South African Qualifications Authority (SAQA) should be acknowledged as the source. 
SOUTH AFRICAN QUALIFICATIONS AUTHORITY 
REGISTERED UNIT STANDARD: 
Use and apply matrices and graphs to solve systems of equations and network problems 
SAQA US ID  UNIT STANDARD TITLE  
243840  Use and apply matrices and graphs to solve systems of equations and network problems  
ORIGINATOR  
SGB Math Literacy, Math, Math Sciences L 2 4  
PRIMARY OR DELEGATED QUALITY ASSURANCE FUNCTIONARY  
  
FIELD  SUBFIELD  
Field 10  Physical, Mathematical, Computer and Life Sciences  Mathematical Sciences  
ABET BAND  UNIT STANDARD TYPE  PRE2009 NQF LEVEL  NQF LEVEL  CREDITS 
Undefined  RegularFundamental  Level 5  Level TBA: Pre2009 was L5  2 
REGISTRATION STATUS  REGISTRATION START DATE  REGISTRATION END DATE  SAQA DECISION NUMBER  
Reregistered  20180701  20230630  SAQA 06120/18  
LAST DATE FOR ENROLMENT  LAST DATE FOR ACHIEVEMENT  
20240630  20270630 
In all of the tables in this document, both the pre2009 NQF Level and the NQF Level is shown. In the text (purpose statements, qualification rules, etc), any references to NQF Levels are to the pre2009 levels unless specifically stated otherwise. 
This unit standard does not replace any other unit standard and is not replaced by any other unit standard. 
PURPOSE OF THE UNIT STANDARD 
To help learners represent data and position in the threedimensional world by means of matrices and graphs.
A person credited with this unit standard is able to: In order to see this unit standard with its exact formulae, please use the link at the end of the Searchable Database home page. SAQA is in the process of adapting the National Learners' Records Database to accommodate such formulae. 
LEARNING ASSUMED TO BE IN PLACE AND RECOGNITION OF PRIOR LEARNING 
UNIT STANDARD RANGE 
N/A 
Specific Outcomes and Assessment Criteria: 
SPECIFIC OUTCOME 1 
Solve systems of linear equations by diagonalisation or determining the inverse matrix. 
OUTCOME RANGE 
Systems of linear equations are in three variables. 
ASSESSMENT CRITERIA 
ASSESSMENT CRITERION 1 
Systems of linear equations in three variables are solved by diagonalisation through row reduction. 
ASSESSMENT CRITERION 2 
The inverse of a 3 x 3 matrix can be found by a sequence of row transformations using the formula shown in the MS Word document. 
ASSESSMENT CRITERION 3 
The determinant of a 3 x 3 matrix is correctly calculated. 
ASSESSMENT CRITERION 4 
The inverse matrix is used to solve systems of linear equations. 
SPECIFIC OUTCOME 2 
Use graphs and simple algorithms to solve network problems. 
ASSESSMENT CRITERIA 
ASSESSMENT CRITERION 1 
Minimum connector problems are solved using graphs and algorithms. 
ASSESSMENT CRITERION RANGE 
Algorithms include the Kruskal and Prim algorithms. 
ASSESSMENT CRITERION 2 
Travelling salesman problems may be solved using graphs and simple algorithms in the literature. 
SPECIFIC OUTCOME 3 
Use matrices to represent and solve travel problems. 
ASSESSMENT CRITERIA 
ASSESSMENT CRITERION 1 
Adjacency matrices are used to represent network problems. 
ASSESSMENT CRITERION 2 
Adjacency matrices are used to solve network optimisation problems. 
ASSESSMENT CRITERION RANGE 
Network problems include shortest path, Chinese postman, minimum connector and travelling salesmen roblems. 
ASSESSMENT CRITERION 3 
Minimum connector problems may be solved using matrices and algorithms. 
ASSESSMENT CRITERION RANGE 
Algorithms include the Kruskal and Prim algorithms. 
ASSESSMENT CRITERION 4 
Travelling salesman problems may be solved using matrices and simple algorithms in the literature. 
UNIT STANDARD ACCREDITATION AND MODERATION OPTIONS 
UNIT STANDARD ESSENTIAL EMBEDDED KNOWLEDGE 
UNIT STANDARD DEVELOPMENTAL OUTCOME 
N/A 
UNIT STANDARD LINKAGES 
N/A 
Critical Crossfield Outcomes (CCFO): 
UNIT STANDARD CCFO IDENTIFYING 
Identifying and solving problems in which responses display that responsible decisions using critical and creative thinking have been made when:

UNIT STANDARD CCFO WORKING 
Working effectively with others as a member of a team, group, organisation, and community during:

UNIT STANDARD CCFO ORGANISING 
Organising and managing oneself and one's activities responsibly and effectively when:

UNIT STANDARD CCFO COLLECTING 
Collecting, analysing, organising and critically evaluating information to better understand and explain:

UNIT STANDARD CCFO COMMUNICATING 
Communicating effectively using visual, mathematical and/or language skills in the modes of oral and/or written persuasion when:

UNIT STANDARD CCFO SCIENCE 
Using science and technology effectively and critically, showing responsibility towards the environment and health of others when:

UNIT STANDARD CCFO DEMONSTRATING 
Demonstrating an understanding of the world as a set of related systems by recognising that problemsolving contexts do not exist in isolation when:

UNIT STANDARD ASSESSOR CRITERIA 
N/A 
REREGISTRATION HISTORY 
As per the SAQA Board decision/s at that time, this unit standard was Reregistered in 2012; 2015. 
UNIT STANDARD NOTES 
N/A 
QUALIFICATIONS UTILISING THIS UNIT STANDARD: 
ID  QUALIFICATION TITLE  PRE2009 NQF LEVEL  NQF LEVEL  STATUS  END DATE  PRIMARY OR DELEGATED QA FUNCTIONARY  
Fundamental  63589  National Diploma: Geographical Information Science  Level 5  NQF Level 05  Reregistered  20230630  CETA 
Elective  65649  National Certificate: Official Statistics  Level 5  Level TBA: Pre2009 was L5  Reregistered  20230630  PSETA 
PROVIDERS CURRENTLY ACCREDITED TO OFFER THIS UNIT STANDARD: 
This information shows the current accreditations (i.e. those not past their accreditation end dates), and is the most complete record available to SAQA as of today. Some Primary or Delegated Quality Assurance Functionaries have a lag in their recording systems for provider accreditation, in turn leading to a lag in notifying SAQA of all the providers that they have accredited to offer qualifications and unit standards, as well as any extensions to accreditation end dates. The relevant Primary or Delegated Quality Assurance Functionary should be notified if a record appears to be missing from here. 
NONE 
All qualifications and part qualifications registered on the National Qualifications Framework are public property. Thus the only payment that can be made for them is for service and reproduction. It is illegal to sell this material for profit. If the material is reproduced or quoted, the South African Qualifications Authority (SAQA) should be acknowledged as the source. 