Linear Transformation Quiz

What is a linear transformation?

• A function that changes the magnitude of vectors but not their direction

• A function between two vector spaces that preserves the operations of vector addition and scalar multiplication.

• A transformation that only works in 3D space

• A type of non-linear function

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Can you give an example of a linear transformation?

• A rotation in 2D space

• A translation in 5D space

• A reflection in 4D space

• A multiplication in 3D space

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What are the properties of a linear transformation?

• Preserving addition and scalar multiplication

• Ignoring addition and scalar multiplication

• Doubling addition and scalar multiplication

• Reversing addition and scalar multiplication

How do you represent a linear transformation?

• By a cooking recipe

• By a weather forecast

• By a list of ingredients

• By a matrix

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What is the effect of a linear transformation on a shape?

• It can change the color of the shape

• It can make the shape disappear

• It can turn the shape into a different shape

• It can stretch, shrink, or rotate the shape without changing its overall appearance.

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What is the difference between a linear and a non-linear transformation?

• A linear transformation preserves the properties of addition and scalar multiplication, while a non-linear transformation does not.

• A linear transformation only works in two dimensions, while a non-linear transformation works in three dimensions

• A linear transformation can only be represented by a matrix, while a non-linear transformation can be represented by a function

• A linear transformation always results in a straight line, while a non-linear transformation results in a curved line

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How can you apply a linear transformation to a given shape?

• Say a magic word

• Use a magic wand

• Use a transformation matrix

• Ask nicely for the shape to change

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What are the applications of linear transformations in real life?

• Computer graphics, engineering, economics, physics, and many more

• Cooking, gardening, knitting

• Astronomy, astrology, palm reading

• Singing, dancing, painting

Can you identify a linear transformation in a given set of shapes?

• Maybe

• I don't know

• No

• Yes

How can you describe a linear transformation using simple language?

• It is a function that maps circles to squares and preserves division and multiplication.

• It is a function that maps points to lines and preserves addition and subtraction.

• It is a function that maps curves to curves and preserves integration and differentiation.

• It is a function that maps lines to lines and preserves addition and scalar multiplication.

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