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 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 the identity matrix do?

A). Scales the object

B). Moves the object

C). Rotates the object

D). Leaves the object unchanged

Which transformation does a skewing matrix perform?

A). Rotation

B). Scaling

C). Shearing

D). Reflection

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 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

Which matrix operation is used for shearing?

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 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]]

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 determinant of a scaling matrix?

A). Always 1

B). Always 0

C). Depends on the scaling factor

D). Always -1