Further Maths GCSE - Matrices

Flashcards focused on key vocabulary and concepts related to matrices and transformations as covered in the Further Maths GCSE lecture.

Transformation Matrix

A matrix that maps points from one coordinate system to another, representing transformations such as translations, rotations, and reflections.

Matrix Multiplication

The process of multiplying two matrices to produce a third matrix, often used to describe consecutive transformations.

Reflection in the y-axis

A transformation that flips points across the y-axis, changing the sign of the x-coordinate.

Rotation Matrix

A matrix used to rotate points in a plane about the origin by a specified angle.

Unit Square Transformation

The operation performed on a unit square under a given transformation matrix, which results in a new set of coordinates.

Finding Values of a and b

Determining specific values that satisfy the conditions given by transformation matrices mapping points.

Matrix Representation of Transformations

The use of matrices to mathematically represent geometric transformations such as scaling, rotating, and reflecting.

Identity Matrix

A square matrix with ones on the diagonal and zeros elsewhere, which acts as a multiplicative identity in matrix operations.

Composite Transformations

The result of performing multiple transformations in sequence and often expressed in terms of matrix multiplication.

Coordinates of Point P

The x and y values that represent the location of point P before any transformations are applied.