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 is the determinant of a scaling matrix?

A). Always 1

B). Always 0

C). Depends on the scaling factor

D). Always -1

Which matrix operation is used for mirroring?

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 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

Which matrix operation is used for shearing?

A). Addition

B). Subtraction

C). Multiplication

D). Division

What does the identity matrix do?

A). Scales the object

B). Moves the object

C). Rotates the object

D). Leaves the object unchanged

How does a shearing matrix affect an object?

A). Stretches it along one axis

B). Changes its orientation

C). Skews it along one axis

D). Rotates it

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 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]]