Master: Vectors & Matrices

Master: Vectors & Matrices

Course Modules

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1. Explain concepts associated with vectors; concept of a vector, magnitude, direction, line segment, scalar.
 
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Move done incomplete Vectors (Saylor.org) Vectors (Saylor.org)
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Move done incomplete Introduction to vectors (IB Math Stuff) Introduction to vectors (IB Math Stuff)
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Move done incomplete Vector introduction (Math Insight) Vector introduction (Math Insight)
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Move done incomplete Vectors (Commonwealth of Learning) Vectors (Commonwealth of Learning)
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Move done incomplete GCSE Maths Revision (HEGARTYMATHS on YouTube) GCSE Maths Revision (HEGARTYMATHS on YouTube)
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Move done incomplete Representing a Vector as a Directed Line Segment (Open High School) Representing a Vector as a Directed Line Segment (Open High School)
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Move done incomplete Vectors Part 1 (Mastering Mathematics on YouTube) Vectors Part 1 (Mastering Mathematics on YouTube)
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2. Combine vectors; triangle law, or parallelogram laws 2x1 column matrices.
 
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Move done incomplete Vector addition (CNX) Vector addition (CNX)
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Move done incomplete Introduction to vectors (gcse-maths-revise.wikispaces) Introduction to vectors (gcse-maths-revise.wikispaces)
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Move done incomplete Introduction to vectors (Math Insight) Introduction to vectors (Math Insight)
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Move done incomplete Vectors (Dr Cruzan's Maths and Science Web) Vectors (Dr Cruzan's Maths and Science Web)
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Move done incomplete Vectors Part 2 (Mastering Mathematics on YouTube) Vectors Part 2 (Mastering Mathematics on YouTube)
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3. Express a point P(a,b) as a position vector baOP where O is the origin (0, 0); displacement and position vectors; co-ordinates.
 
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Move done incomplete Introduction to vectors (Mathcentre.ac.uk) Introduction to vectors (Mathcentre.ac.uk)
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Move done incomplete Vectors (Commonwealth of Learning) Vectors (Commonwealth of Learning)
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Move done incomplete Vectors Part 2 for CSEC students: Mock past paper questions & answers (cxcdirect on YouTube)-2 Vectors Part 2 for CSEC students: Mock past paper questions & answers (cxcdirect on YouTube)-2
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Move done incomplete Episode 26 2012 - Vectors (Mastering Mathematics on YouTube) Episode 26 2012 - Vectors (Mastering Mathematics on YouTube)
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4. Determine the magnitude of a vector; including unit vectors.
 
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Move done incomplete Introduction to vectors (Mathcentre.ac.uk) Introduction to vectors (Mathcentre.ac.uk)
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Move done incomplete Vector (allmathwords.org) Vector (allmathwords.org)
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Move done incomplete Vectors (Commonwealth of Learning) Vectors (Commonwealth of Learning)
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Move done incomplete Introduction to vectors (IB Math Stuff) Introduction to vectors (IB Math Stuff)
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Move done incomplete Vectors: magnitude, unit vector, collinearity (HSN) Vectors: magnitude, unit vector, collinearity (HSN)
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5. Use vectors to solve problems in Geometry; collinearity, parallel.
 
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Move done incomplete Vectors (Commonwealth of Learning) Vectors (Commonwealth of Learning)
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Move done incomplete Vectors 3 (gcse-maths-revise.wikispaces) Vectors 3 (gcse-maths-revise.wikispaces)
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Move done incomplete Vectors: magnitude, unit vector, collinearity (HSN) Vectors: magnitude, unit vector, collinearity (HSN)
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Move done incomplete Vectors Part 2 for CSEC students: Mock past paper questions & answers (cxcdirect on YouTube) Vectors Part 2 for CSEC students: Mock past paper questions & answers (cxcdirect on YouTube)
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Move done incomplete How to Show Points are Collinear - Vectors (MathMathsMathematics on YouTube) How to Show Points are Collinear - Vectors (MathMathsMathematics on YouTube)
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Move done incomplete GCSE Maths Revision - Vectors (HEGARTYMATHS on YouTube) GCSE Maths Revision - Vectors (HEGARTYMATHS on YouTube)
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6. Explain concepts associated with matrices; concept of a matrix, row, column, order, types of matrices, practical use.
 
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Move done incomplete Matrices - what is a matrix? (mathcentre.ac.uk) Matrices - what is a matrix? (mathcentre.ac.uk)
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Move done incomplete Introduction to matrices (IB Math Stuff) Introduction to matrices (IB Math Stuff)
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Move done incomplete Matrices and vectors - short explanation (Wikibooks) Matrices and vectors - short explanation (Wikibooks)
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Move done incomplete Matrices applications (Mathipedia) Matrices applications (Mathipedia)
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Move done incomplete Matrices to represent data (CK-12) Matrices to represent data (CK-12)
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Move done incomplete Matrices - Introduction (ExamSolutions on YouTube) Matrices - Introduction (ExamSolutions on YouTube)
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7. Perform addition, subtraction and multiplication of matrices and multiplication of matrices by a scalar; non-commutativity of matrix multiplication.
 
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Move done incomplete Matrix operations (IB Math Stuff) Matrix operations (IB Math Stuff)
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Move done incomplete Mutiplying matrices 1 (mathcentre.ac.uk) Mutiplying matrices 1 (mathcentre.ac.uk)
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Move done incomplete Multiplying matrices 2 - non commutative (mathcentre.ac.uk) Multiplying matrices 2 - non commutative (mathcentre.ac.uk)
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Move done incomplete Multiplying matrices 5.3 (mathcentre.ac.uk) Multiplying matrices 5.3 (mathcentre.ac.uk)
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Move done incomplete Addition, subtraction and scalar multiplication of matrices (mathcentre.ac.uk) Addition, subtraction and scalar multiplication of matrices (mathcentre.ac.uk)
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Move done incomplete Matrices - Addition, Subtraction and Scalar Multiplication (ExamSolutions on YouTube) Matrices - Addition, Subtraction and Scalar Multiplication (ExamSolutions on YouTube)
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Move done incomplete Matrices - Matrix Multiplication (ExamSolutions on YouTube) Matrices - Matrix Multiplication (ExamSolutions on YouTube)
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Move done incomplete CXC CSEC Matrices: multiplying, adding and equal matrices - typical past paper question (myteachernotes on YouTube) CXC CSEC Matrices: multiplying, adding and equal matrices - typical past paper question (myteachernotes on YouTube)
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Move done incomplete CXC CSEC Math matrix multiplication problem 1 - typical past paper question (myteachernotes on YouTube) CXC CSEC Math matrix multiplication problem 1 - typical past paper question (myteachernotes on YouTube)
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8. Evaluate the determinant of a ‘2 x 2’ matrix.
 
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Move done incomplete Determinant of 2x2 matrix (mathcentre.ac.uk) Determinant of 2x2 matrix (mathcentre.ac.uk)
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Move done incomplete Matrices and determinants (Math Insight) Matrices and determinants (Math Insight)
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Move done incomplete Matrices: Determinants and inverses (IB Math Stuff) Matrices: Determinants and inverses (IB Math Stuff)
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9. Solve problems involving a ‘2 x 2’ singular matrix
 
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Move done incomplete Solve problems with matrices (Sean Hunte) Solve problems with matrices (Sean Hunte)
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Move done incomplete Determinant of a 2x2 matrix, some exercises (CXC Math on YouTube) Determinant of a 2x2 matrix, some exercises (CXC Math on YouTube)
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10. Obtain the inverse of a non-singular ‘2 x 2’ matrix; determinant and adjoint of a matrix.
 
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Move done incomplete Inverse of 2x2 matrix (mathcentre.ac.uk) Inverse of 2x2 matrix (mathcentre.ac.uk)
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Move done incomplete Inverse of matrix, adjoint matrix (mathcentre.ac.uk) Inverse of matrix, adjoint matrix (mathcentre.ac.uk)
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Move done incomplete Matrices: determinants and inverses (IB Math Stuff) Matrices: determinants and inverses (IB Math Stuff)
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Move done incomplete Finding The Inverse of a 2X2 Matrix (Cxcmath Tutor on YouTube) Finding The Inverse of a 2X2 Matrix (Cxcmath Tutor on YouTube)
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11. Determine a ‘2 x 2’ matrix associated with specified transformations.
 
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Move done incomplete 2x2 transformation matrix (CXC Math on YouTube) 2x2 transformation matrix (CXC Math on YouTube)
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Move done incomplete Transformation Matrices : Enlargement scale factor k (positive) (ExamSolutions on YouTube) Transformation Matrices : Enlargement scale factor k (positive) (ExamSolutions on YouTube)
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Move done incomplete Rotation Using Matrices (TenMarksInstructor on YouTube) Rotation Using Matrices (TenMarksInstructor on YouTube)
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12. Determine a ‘2 x 2’ matrix representation of the single transformation which is equivalent to the composition of two linear transformations in a plane (where the origin remains fixed).
 
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Move done incomplete Matrix Transformations: reflections and rotations (jayates79 on YouTube) Matrix Transformations: reflections and rotations (jayates79 on YouTube)
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13. Use matrices to solve simple problems in Arithmetic, Algebra and Geometry. Use of matrices to solve linear simultaneous equations. (Matrices of order greater than ‘3 x 3’ will not be set.)
 
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Move done incomplete Solving a system of equations with matrices (IB Math Stuff) Solving a system of equations with matrices (IB Math Stuff)
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Move done incomplete Solve simultaneous equations with matrices (mathcentre.ac.uk) Solve simultaneous equations with matrices (mathcentre.ac.uk)
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Move done incomplete Solving Word Problems Involving Matrices (braingenie CK-12) Solving Word Problems Involving Matrices (braingenie CK-12)
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Move done incomplete Solving Word Problems Involving Matrices - Example 1 (CK-12) Solving Word Problems Involving Matrices - Example 1 (CK-12)
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Move done incomplete Solving Word Problems Involving Matrices - Overview (CK-12) Solving Word Problems Involving Matrices - Overview (CK-12)
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Move done incomplete CSEC Math Jan 2012 Paper 2 Q11c (CXC Math Explained) CSEC Math Jan 2012 Paper 2 Q11c (CXC Math Explained)
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Move done incomplete CSEC CXC Maths Past Paper 2 Question 11b May 2013 Exam Solution (Cxcmath Tutor on YouTube) CSEC CXC Maths Past Paper 2 Question 11b May 2013 Exam Solution (Cxcmath Tutor on YouTube)
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Self Assessment Activities
 
Move done incomplete Vectors & Matrices Self Assessment Quiz Vectors & Matrices Self Assessment Quiz
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