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TheActSciGuy

I'm a second year actuarial student at UCT. I achieved a 90% aggregate in matric (IEB), with 97% for maths (top 1% in the country), 93% for physics, 95% for business studies and 85% for advanced maths.

I'm here to help you succeed in all your matric and actuarial courses with high yield and easily understandable summaries & problem sheets. I look forward to working with you!

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82 items

MAM2000W: 2LA Final Exam Summary Pack

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Detailed and understandable summary notes of the entire MAM2000W Linear Algebra course. Packed with exam problems and colourful hints. *Contains no proofs*. Work through all note packs, in order, and you'll be ready to ace the test/exam. Notation has been simplified so it's easy to understand. Lots of detailed method sheets for questions.

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  •  • 11 items • 
  • by TheActSciGuy • 
  • uploaded  26-05-2021
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MAM2000W: 2LA Vector Spaces and Subspaces

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Detailed and understandable summary of Vector Spaces and Subspaces Packed with exam problems and colourful hints. Contains: - Detailed definition of a vector space - Closure of vector spaces - 10 Axioms - 7 Examples of proving sets of elements are vector spaces - Explanation of The Span to prove Subset Theorem - 4 Examples of prior theorem - Detailed explanation of the null space, column space with 2 examples each - Differences between null space and column space

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  •  • 37 pages • 
  • by TheActSciGuy • 
  • uploaded  26-05-2021
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MAM2000W: 2LA Basis of a Vector Space/Subspace

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Detailed and understandable summary of the Basis of a Vector Space/Subspace. Packed with exam problems and colourful hints. Contains: - Basic explanation of a Basis and Dimension of a Basis - Detailed method for basis of the column space, a span of vectors, null space, general subspace, and row space - 1 Example to find basis of span - 1 Examples to find basis of general subspace - Definition of Row space - Explanation of dimensions of vector spaces - Standard basis of vector spaces and polynom...

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  •  • 22 pages • 
  • by TheActSciGuy • 
  • uploaded  26-05-2021
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MAM2000W: 2LA Markov Chains and Steady State Vectors

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Detailed and understandable summary of Markov Chains and Steady State Vectors. Packed with examples and colourful hints. Contains: Detailed explanation Markov Chains - Transition diagrams - 1 Detailed Example - Initial and Future state vectors - Transition Matrices - Steady state vectors explained and formula - 1 Example of finding the steady state vector

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  •  • 16 pages • 
  • by TheActSciGuy • 
  • uploaded  26-05-2021
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MAM2000W 2LA: Rank-Nulity Theorem

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Detailed and understandable summary of The Rank-Nulity Theorem. Packed with examples and colourful hints. Contains: Detailed explanation of the Rank-Nulity Theorem - How the results of the Rank-Nulity Theorem are added to the Invertible Matric Theorem - 9 Easy to Complex examples of applying the Rank-Nulity theorem.

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  •  • 11 pages • 
  • by TheActSciGuy • 
  • uploaded  26-05-2021
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MAM2000W: 2LA Invertible Matrices and The Invertible Matrix Theorem

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Detailed and understandable summary of Invertible Matrices and The Invertible Matrix Theorem. Packed with examples and colourful hints. Contains: Notation - 2x2 Inverse - 2 Examples of 2x2 inverse - 3x3 Inverse by row equivalence and expansion formula - 4 Examples of 3x3 case for both methods - Properties of inverse matrices - The invertible matrix theorem detailed breakdown - 4 Application questions on the invertible matric theorem.

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  •  • 23 pages • 
  • by TheActSciGuy • 
  • uploaded  26-05-2021
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MAM2000W: 2LA Eigenvalues, Eigenvectors and Diagonalization

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Detailed and understandable summary of Eigenvalues, Eigenvectors and Diagonalization. Packed with examples and colourful hints. Contains: Important notation -Detailed method to find eigenvalues and eigenvectors - Eigenspaces - 2 detailed and annotated examples - All possible question types for eigenvalues and eigenvectors explained - Clear explanation of diagonalization - Detailed method of Diagonalization - 1 Example of Diagonalization

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  •  • 23 pages • 
  • by TheActSciGuy • 
  • uploaded  26-05-2021
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MAM2000W: 2LA Determinants and Cramer's Rule

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Detailed and understandable summary of Determinants and Cramer's Rule. Packed with examples and colourful hints. Contains: Explanation and notation of determinants - 2x2 determinant case - 3x3 determinant case by cofactor expansion via column or row - 2 Examples of cofactor expansion - Determinants of triangular matrices - Effects of row operation on determinants - Cramer's Rule explanation - 3 Examples of Cramer's Rule - Cramer's Rule for inverse matrices, with examples.

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  •  • 23 pages • 
  • by TheActSciGuy • 
  • uploaded  25-05-2021
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