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 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
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 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 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 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 determinant of a scaling matrix?
A). Always 1
B). Always 0
C). Depends on the scaling factor
D). Always -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
Which matrix operation is used for shearing?
A). Addition
B). Subtraction
C). Multiplication
D). Division