Q
What is the determinant of a scaling matrix?

Answer & Solution

Answer: Option C
Solution:
The determinant of a scaling matrix depends on the scaling factor.
Related Questions on Average

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 effect of a reflection matrix?

A). Scales the object

B). Moves the object

C). Rotates the object

D). Mirrors the object

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 does the identity matrix do?

A). Scales the object

B). Moves the object

C). Rotates the object

D). Leaves the object unchanged

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

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

Which matrix operation is used for scaling?

A). Addition

B). Subtraction

C). Multiplication

D). Division

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