How do you combine transformation matrices for multiple operations?

What is the result of multiplying two orthogonal matrices?

A). A diagonal matrix

B). A non-orthogonal matrix

C). An identity matrix

D). A reflection matrix

What is the result of multiplying an object by the identity matrix?

A). It is rotated

B). It is scaled

C). It is translated

D). It remains unchanged

What does a rotation matrix for 90 degrees look like?

A). [[1, 0], [0, 1]]

B). [[0, -1], [1, 0]]

C). [[0, 1], [-1, 0]]

D). [[-1, 0], [0, -1]]

What does a translation matrix look like?

A). [[1, 0], [0, 1]]

B). [[0, 1], [1, 0]]

C). [[1, 0, tx], [0, 1, ty], [0, 0, 1]]

D). [[1, tx], [ty, 1]]

How does a negative determinant affect a transformation?

A). Inverts the transformation

B). Scales the transformation

C). Reflects the transformation

D). Rotates the transformation

Which matrix operation is used for rotation?

A). Addition

B). Subtraction

C). Multiplication

D). Division

What does a scaling matrix look like?

A). [[1, 0], [0, 1]]

B). [[0, 1], [1, 0]]

C). [[s, 0], [0, s]]

D). [[0, s], [s, 0]]

What is the result of applying two translation matrices successively?

A). The object is scaled

B). The object is rotated

C). The object is translated twice

D). The order of translation does not matter

What happens to a vector multiplied by the zero matrix?

A). It is rotated

B). It is scaled

C). It becomes a zero vector

D). It becomes an identity vector

Which transformation does a skewing matrix perform?

A). Rotation

B). Scaling

C). Shearing

D). Reflection