Q
What is the result of multiplying two orthogonal matrices?

Answer & Solution

Answer: Option C
Solution:
Multiplying two orthogonal matrices results in an identity matrix.
Related Questions on Average

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 scaling?

A). Addition

B). Subtraction

C). Multiplication

D). Division

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 is the determinant of a scaling matrix?

A). Always 1

B). Always 0

C). Depends on the scaling factor

D). Always -1

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 transformation does a skewing matrix perform?

A). Rotation

B). Scaling

C). Shearing

D). Reflection

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