Matrices and Linear Transformations (A-Level Further Maths)

Matrices and Linear Transformations (A-Level Further Maths)

A Teach Further Maths' Resource 73 Slides To understand what is meant by a ‘transformation’. To understand what is meant by a ‘linear transformation’. To be able to show that a given transformation is linear. To understand what is meant by an ‘inverse transformation’. To be able to find the inverse of a given linear transformation. To be able to find matrices that represent given linear transformations. To be able to find matrices that represent composite linear transformations. To understand what is meant by ‘invariant points’ and ‘invariant lines’. To be able to find invariant points/lines for a given transformation matrix. To be able to find matrices representing inverse linear transformations. To be able to find matrices representing inverse of composite linear transformations. To understand how to find the transpose of a matrix.
huntp1
AQA Further Maths Level 2: Need to Know booklet

AQA Further Maths Level 2: Need to Know booklet

Comprehensive 27-page booklet containing notes and examples designed to cover all the course content of the AQA Further Maths Level 2 syllabus. This qualification is an effective bridge between GCSE and A-level, and as such much of the content overlaps with both A/A* GCSE and AS Mathematics content. An ideal companion to those studying this course, similar Additional Maths courses, or just wanting to become familiar with some of the more advanced mathematics they will encounter in more detail when they begin A-level Maths.
thechalkface
GCSE Mathematics with AQA Further Maths Lessons, Exercises and Solutions

GCSE Mathematics with AQA Further Maths Lessons, Exercises and Solutions

This PDF contains 65 chapters, each containing explanations, worked examples and exercises. There is a Solutions section after the lesson chapters with worked solutions to each exercise. It is not intended as a standalone book but instead should augment other literature and learning resources you may be using. Remember, you can never do too much maths. We have adopted an informal tone whilst retaining appropriate nomenclature and detail where necessary. Throughout the chapters, where appropriate, we have included exercises aimed at students doing Further Maths. Some of these are complete, new chapters such as Matrices (Chapter. 57). Others are simply additional exercises within existing GCSE topics that we have extended to incorporate the Further Maths syllabus. In either case they are designed to challenge you and allow you to experience the transition from the Higher tier to the next level. This has been exported from an iBook copy (available on iBooks) and unfortunately as such the chapter hyperlinks do not work. We are updating this book on a regular basis so if you purchase it please return to download the free updates.
mitec
Inverse Matrices and Determinants (A-Level Further Maths)

Inverse Matrices and Determinants (A-Level Further Maths)

A 'Teach Further Maths' Resource 54 Slides To understand what is meant by the ‘inverse’ of a matrix. To understand what is meant by the ‘determinant’ of a matrix. To be able to find the determinant of a 2x2 or 3x3 matrix. To be able to find the inverse of a 2x2 or 3x3 matrix. To be able to consider determinants of 2x2 matrices and 3x3 matrices geometrically.
huntp1
Eigenvalues and Eigenvectors (A-Level Further Maths)

Eigenvalues and Eigenvectors (A-Level Further Maths)

A 'Teach Further Maths' Resource 54 Slides To understand what is meant by ‘eigenvalues’ and ‘eigenvectors’. To understand how to find the ‘characteristic equation’. To be able to find eigenvalues and eigenvectors for given 2x2 and 3x3 matrices. Understand what is meant by the terms ‘normalised eigenvectors’, ‘orthogonal eigenvectors’ and ‘orthogonal matrices’. To be able to show that a given matrix is orthogonal.
huntp1
Matrix Transformations (A-Level Further Maths)

Matrix Transformations (A-Level Further Maths)

A 'Teach Further Maths' Resource 64 slides Lesson Objectives: To be able to use algebra to solve simple transformations problems. To be able to find matrices associated with common matrix transformations. To be able to describe transformations represented by certain matrices.
huntp1
Diagonalisation of a Matrix (A-Level Further Maths)

Diagonalisation of a Matrix (A-Level Further Maths)

A 'Teach Further Maths' Resource 40 Slides To understand what is meant by ‘diagonal matrices’ and ‘symmetric matrices’. To understand what is meant by ‘diagonalising’ a matrix. To be able to deduce diagonalisability for simple 2x2 and 3x3 matrices. To be able to diagonalise a given symmetric matrix. To apply the method of diagonalisation to evaluate the power of a given symmetric matrix.
huntp1
Composite Geometric Transformations Using Matrices (A-Level Further Maths)

Composite Geometric Transformations Using Matrices (A-Level Further Maths)

A 'Teach Further Maths' Resource 28 Slides To recall the rules of simple transformations. To be able to find matrices representing simple composite transformations. To know that composite transformation matrices are pre-multiplied. To be able to describe simple composite transformations represented by some matrices.
huntp1
Matrix Coordinate Geometry

Matrix Coordinate Geometry

This 12-page introduction to matrix coordinate geometry involves matrices, transformations, and rotations in the coordinate plane. In addition to examples, there is a practice quiz (with detailed solutions). For more details, contact us. Any proceeds support the mathplane site maintenence and TES. Thanks for visiting!
mathplane