Geometric Transformations with Matrices (Edexcel A-Level Further Mathematics): Flashcards

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Geometric Transformations with Matrices
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Reflection in plane x=0x=0: which coordinate negated?

xx-coordinate

Reflection in plane y=0y=0: which coordinate negated?

yy-coordinate

Reflection in plane z=0z=0: which coordinate negated?

zz-coordinate

Rotation about xx-axis: which coordinate unchanged?

xx-coordinate

Rotation about yy-axis: which coordinate unchanged?

yy-coordinate

Rotation about zz-axis: which coordinate unchanged?

zz-coordinate

Direction of 3D rotations along positive axis

Counterclockwise

Transform AA then BB: combined matrix formula?

B×AB \times A

Critical factor in combined transformations

Order of multiplication

Element (2,2)(2,2) in rotation matrix about yy-axis

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