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

What does the identity matrix do?

A). Scales the object

B). Moves the object

C). Rotates the object

D). Leaves the object unchanged

Which matrix operation is used for scaling?

A). Addition

B). Subtraction

C). Multiplication

D). Division

How do you combine transformation matrices for multiple operations?

A). Add them together

B). Multiply them in reverse order

C). Multiply them in the given order

D). Divide them

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 transformation matrix do?

A). Adds two matrices

B). Multiplies two matrices

C). Divides two matrices

D). Subtracts two matrices

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]]

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

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