7: Linear Transformations Flashcards by Henry Marshall

Q

Reflection in the y-axis?

A

-1 0
0 1

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Q

Reflection in the x-asix?

A

1 0
0 -1

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Q

Reflection in y=x

A

0 1
1 0

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Q

Reflection in y= -x

A

0 -1
-1 0

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Q

Rotation of θ around origin?

A

cosθ -sinθ
sinθ cosθ

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Q

What does a 0 do?
0 b

A

Stretch of a parallel to x axis and b parallel to y axis
if a=b, then enlargement of a.

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Q

What is the area scale factor?

A

det(M)

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Q

What is the transformation PQ?

A

Transformation of Q then P!!!

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Q

(3D) Reflection in plane x=0

A

-1 0 0
0 1 0
0 0 1

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Q

(3D) Reflection in plane y=0

A

1 0 0
0 -1 0
0 0 1

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Q

(3D) Reflection in plane z=0

A

1 0 0
0 1 0
0 0 -1

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Q

(3D) Rotation of θ about the x axis?

A

1 0 0
0 cosθ -sinθ
0 sinθ cosθ

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Q

(3D) Rotation of θ about the y axis?

A

cosθ 0 sinθ
0 1 0
-sinθ 0 cosθ

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Q

(3D) Rotation of θ about the z axis?

A

cosθ -sinθ 0
sinθ cosθ 0
0 0 1

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Q

Know about invariant points you muppet.

A

Yes, do this!!!!!

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