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COMPUTATIONAL MATHEMATICS ( MMEC511 ) ( MCMT511 ) - SOL PLAATJE MATRIX LECTURE NOTES
COMPUTATIONAL MATHEMATICS ( MMEC511 ) ( MCMT511 ) - SOL PLAATJE MATRIX LECTURE Definition and representation of matrices Matrix operations (addition, subtraction, scalar multiplication) Matrix multiplication Transpose of a matrix Special matrices (identity matrix, zero matrix) Inverse of a matrix (if exists) Definition and properties of determinants Calculation of determinants for 2x2 and 3x3 matrices Cofactor expansion Conditions for the existence of inverse Finding the inverse of a...
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- • 76 pages •
COMPUTATIONAL MATHEMATICS ( MMEC511 ) ( MCMT511 ) - SOL PLAATJE MATRIX LECTURE Definition and representation of matrices Matrix operations (addition, subtraction, scalar multiplication) Matrix multiplication Transpose of a matrix Special matrices (identity matrix, zero matrix) Inverse of a matrix (if exists) Definition and properties of determinants Calculation of determinants for 2x2 and 3x3 matrices Cofactor expansion Conditions for the existence of inverse Finding the inverse of a...
Electrochemistry Summary (Grade 12 IEB)
Electrochemistry Summary (Grade 12 IEB) INTRODUCTORY TERMINOLOGY ELECTROCHEMISTRY is the branch of chemistry that deals with the transformation between electrical and chemical energy. Galvanic cell - a device that converts chemical energy to electrical energy as a result of self-sustaining spontaneous electrode reactions An electrolytic cell is a device that converts electrical energy into chemical potential energy by means of a non-spontaneous redox reaction. Electro...
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- • 28 pages •
Electrochemistry Summary (Grade 12 IEB) INTRODUCTORY TERMINOLOGY ELECTROCHEMISTRY is the branch of chemistry that deals with the transformation between electrical and chemical energy. Galvanic cell - a device that converts chemical energy to electrical energy as a result of self-sustaining spontaneous electrode reactions An electrolytic cell is a device that converts electrical energy into chemical potential energy by means of a non-spontaneous redox reaction. Electro...
Grade 12 IEB Physical Science - Chemistry
Grade 12 IEB Physical Science - Physics & Chemistry (Entire Grade 12 syllabus summary) Aesthetic, in depth, neatly typed Grade 12 IEB Physical Science - Physics & Chemistry full syllabus summary and notes Summarises all 14 sections of the matric Physics & Chemistry syllabus. Includes all relevant definitions & diagrams.Organic Chemistry 2025 Esterification Reactions Esters are produced in a process called esterification - an acid catalysed condensation reaction between an alcohol and a carb...
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- • 37 pages •
Grade 12 IEB Physical Science - Physics & Chemistry (Entire Grade 12 syllabus summary) Aesthetic, in depth, neatly typed Grade 12 IEB Physical Science - Physics & Chemistry full syllabus summary and notes Summarises all 14 sections of the matric Physics & Chemistry syllabus. Includes all relevant definitions & diagrams.Organic Chemistry 2025 Esterification Reactions Esters are produced in a process called esterification - an acid catalysed condensation reaction between an alcohol and a carb...
Computer Application Technology (CAT) Grade 12 Summary Notes
As a matriculant of 2023 i find this document useful and i hope you will too. I DON'T BELEIVE IN GATE KEEPING useful information. CAT NOTES.THEORY NOTES CAT.STUDY OPPURTUNITIES.FUNWORKS.IEB.NSC CAT.COMPUTER APPLICATONS TECHNOLOGY.COMPUTER APPLICATONS TECHNOLOGY THEORY NOTES 2023.CAT STUDY NOTES GRADE 12 Chapter 1: General concepts 1.1 Computers and their uses 1.2 Data, information, knowledge and wisdom 1.3 Convergence 1.4 Social implications: Environmental Chapter 2: Hardware 2.1 Buying the c...
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As a matriculant of 2023 i find this document useful and i hope you will too. I DON'T BELEIVE IN GATE KEEPING useful information. CAT NOTES.THEORY NOTES CAT.STUDY OPPURTUNITIES.FUNWORKS.IEB.NSC CAT.COMPUTER APPLICATONS TECHNOLOGY.COMPUTER APPLICATONS TECHNOLOGY THEORY NOTES 2023.CAT STUDY NOTES GRADE 12 Chapter 1: General concepts 1.1 Computers and their uses 1.2 Data, information, knowledge and wisdom 1.3 Convergence 1.4 Social implications: Environmental Chapter 2: Hardware 2.1 Buying the c...
Computer Application Technology (CAT) Grade 12 Summary Notes
As a matriculant of 2023 i find this document useful and i hope you will too. I DON'T BELEIVE IN GATE KEEPING useful information. CAT NOTES.THEORY NOTES CAT.STUDY OPPURTUNITIES.FUNWORKS.IEB.NSC CAT.COMPUTER APPLICATONS TECHNOLOGY.COMPUTER APPLICATONS TECHNOLOGY THEORY NOTES 2023.CAT STUDY NOTES GRADE 12 Chapter 1: General concepts 1.1 Computers and their uses 1.2 Data, information, knowledge and wisdom 1.3 Convergence 1.4 Social implications: Environmental Chapter 2: Hardware 2.1 Buying the corr...
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- • 198 pages •
As a matriculant of 2023 i find this document useful and i hope you will too. I DON'T BELEIVE IN GATE KEEPING useful information. CAT NOTES.THEORY NOTES CAT.STUDY OPPURTUNITIES.FUNWORKS.IEB.NSC CAT.COMPUTER APPLICATONS TECHNOLOGY.COMPUTER APPLICATONS TECHNOLOGY THEORY NOTES 2023.CAT STUDY NOTES GRADE 12 Chapter 1: General concepts 1.1 Computers and their uses 1.2 Data, information, knowledge and wisdom 1.3 Convergence 1.4 Social implications: Environmental Chapter 2: Hardware 2.1 Buying the corr...
Computer Application Technology (CAT) Grade 12 Summary Notes
Stuvia CAT theory notes grade 12 pdf As a matriculant of 2023 i find this document useful and i hope you will too. I DON'T BELEIVE IN GATE KEEPING useful information. CAT NOTES.THEORY NOTES CAT.STUDY OPPURTUNITIES.FUNWORKS.IEB.NSC CAT.COMPUTER APPLICATONS TECHNOLOGY.COMPUTER APPLICATONS TECHNOLOGY THEORY NOTES 2023.CAT STUDY NOTES GRADE 12 Chapter 1: General concepts 1.1 Computers and their uses 1.2 Data, information, knowledge and wisdom 1.3 Convergence 1.4 Social implications: Environmental C...
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- • 65 pages •
Stuvia CAT theory notes grade 12 pdf As a matriculant of 2023 i find this document useful and i hope you will too. I DON'T BELEIVE IN GATE KEEPING useful information. CAT NOTES.THEORY NOTES CAT.STUDY OPPURTUNITIES.FUNWORKS.IEB.NSC CAT.COMPUTER APPLICATONS TECHNOLOGY.COMPUTER APPLICATONS TECHNOLOGY THEORY NOTES 2023.CAT STUDY NOTES GRADE 12 Chapter 1: General concepts 1.1 Computers and their uses 1.2 Data, information, knowledge and wisdom 1.3 Convergence 1.4 Social implications: Environmental C...
Physics Grade 12 Notes combo
To general physics, to mechanics to chemistry.
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- Physics (Mechanics) notes Grade 12 • Summary
- GENERAL PHYSICS SEMESTER 2 • Summary
- Grade 12 Physical sciences paper 2 (Chemistry) notes • Summary
To general physics, to mechanics to chemistry.
Maths Grade 12 Final Revision (Paper 1 & 2)
Grade 12 Maths Paper 1 & 2 notes and exam questions Functions, relations and inverses......................................................................................................3 Sequences and Series.......................................................................................................................6 Differentiation .................................................................................................................................7 Exponents.............
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- • 39 pages •
Grade 12 Maths Paper 1 & 2 notes and exam questions Functions, relations and inverses......................................................................................................3 Sequences and Series.......................................................................................................................6 Differentiation .................................................................................................................................7 Exponents.............
Grade 12 Physical sciences paper 2 (Chemistry) notes
Grade 12 Physical sciences paper 2 (Chemistry) notes
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- • 14 pages •
Grade 12 Physical sciences paper 2 (Chemistry) notes
Grade 12 Mathematics differincial calculus notes explained with exam questions
Grade 12 Mathematics differincial calculus explain. As challenging differinal calculus is in math's these notes will make your life MUCH MORE easier The following topics make up each of the TWO exam papers that you write at the end of the year: Paper 1: Patterns and sequences; Finance, growth and decay; Functions and graphs; Algebra, equations and inequalities; Differential Calculus; and Probability Paper 2: Euclidean Geometry; Analytical Geometry; Statistics and regression; and Trigon...
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- • 7 pages •
Grade 12 Mathematics differincial calculus explain. As challenging differinal calculus is in math's these notes will make your life MUCH MORE easier The following topics make up each of the TWO exam papers that you write at the end of the year: Paper 1: Patterns and sequences; Finance, growth and decay; Functions and graphs; Algebra, equations and inequalities; Differential Calculus; and Probability Paper 2: Euclidean Geometry; Analytical Geometry; Statistics and regression; and Trigon...
Computer Application Technology (CAT) Grade 12 Summary Notes
Computer Application Technology (CAT) Grade 12 Summary Notes
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Computer Application Technology (CAT) Grade 12 Summary Notes
Computer Application Technology (CAT) Grade 12 Summary Notes