C3: Matrix Transformations

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From the DfE Mathematics AS and A-Level Further Maths Content (LINK):

PLAYLIST

2D Transformations

C3-01 Matrices: Introducing Matrices as Transformations

C3-02 Matrices: Transforming Coordinates

C3-03 Matrices: Stretches and Enlargements

C3-04 Matrices: Deriving the Reflection Matrix

C3-05 Matrices: Finding a Particular Reflection Matrix

C3-06 Matrices: Reflections

C3-07 Matrices: Rotations

C3-08 Matrices: Deriving the Rotation Matrix

C3-09 Matrices: Examples of Finding a Rotation Matrix

C3-10 Matrices: Describing a Rotation Matrix

C3-11 Matrices: Shears

C3-12 Matrices: Successive Transformations

C3-13 Matrices: Successive Transformations Problems

C3-14 Matrices: EXTENSION Deriving the Compound Angle Formulae

3D Transformations

C3-15 3D Matrices: Introducing Planes

C3-16 3D Matrices: Stretches and Enlargements

C3-17 3D Matrices: Reflection in the Plane x=0

C3-18 3D Matrices: Reflection in the Plane y=0

C3-19 3D Matrices: Reflection in the Plane z=0

C3-20 3D Matrices: EXTENSION Reflection in the line y=x

C3-21 3D Matrices: Rotation of 90 degrees anticlockwise about the x-axis

C3-22 3D Matrices: Rotation of 90 degrees anticlockwise about the y-axis

C3-23 3D Matrices: Rotation of 90 degrees anticlockwise about the z-axis

C3-24 3D Matrices: Deriving the General Rotation Matrices

C3-25 3D Matrices: Successive Transformations Problem