Q
How does a negative determinant affect a transformation?

Answer & Solution

Answer: Option C
Solution:
A negative determinant reflects the transformation along the coordinate axes.
Related Questions on Average

What does the identity matrix do?

A). Scales the object

B). Moves the object

C). Rotates the object

D). Leaves the object unchanged

What does a transformation matrix do?

A). Adds two matrices

B). Multiplies two matrices

C). Divides two matrices

D). Subtracts two matrices

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 scaling matrix look like?

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

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

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

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

Which matrix operation is used for shearing?

A). Addition

B). Subtraction

C). Multiplication

D). Division

What is the effect of a reflection matrix?

A). Scales the object

B). Moves the object

C). Rotates the object

D). Mirrors the object

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]]

Which transformation does a skewing matrix perform?

A). Rotation

B). Scaling

C). Shearing

D). Reflection

What happens when you apply a translation matrix?

A). Rotates the object

B). Scales the object

C). Moves the object

D). Skews the object