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

Which matrix operation is used for mirroring?

A). Addition

B). Subtraction

C). Multiplication

D). Division

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 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

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 scaling?

A). Addition

B). Subtraction

C). Multiplication

D). Division

Which transformation does a skewing matrix perform?

A). Rotation

B). Scaling

C). Shearing

D). Reflection

Which matrix operation is used for shearing?

A). Addition

B). Subtraction

C). Multiplication

D). Division

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 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]]