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 happens when you apply a translation matrix?

A). Rotates the object

B). Scales the object

C). Moves the object

D). Skews the object

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]]

How does a negative determinant affect a transformation?

A). Inverts the transformation

B). Scales the transformation

C). Reflects the transformation

D). Rotates the transformation

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

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 does a transformation matrix do?

A). Adds two matrices

B). Multiplies two matrices

C). Divides two matrices

D). Subtracts two matrices

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

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

Which transformation does a skewing matrix perform?

A). Rotation

B). Scaling

C). Shearing

D). Reflection