5
QuizMultiple Choice

Vector Multiplication Using Matrices — Quiz

Question 5 • Precalculus

Which transformation matrix would result in a 270 degrees counterclockwise rotation about the origin?

Answer
A
the 2 by 2 matrix, row 1, column 1, 0 column 2, negative 1 row 2, column 1, 1 column 2, 0
B
the 2 by 2 matrix, row 1, column 1, 0 column 2, 1 row 2, column 1, negative 1 column 2, 0
C
the 2 by 2 matrix, row 1, column 1, 1 column 2, 0 row 2, column 1, 0 column 2, negative 1
D
the 2 by 2 matrix, row 1, column 1, negative 1 column 2, 0 row 2, column 1, 0 column 2, negative 1

Explanation

A 270° counterclockwise rotation sends each point (x, y) to (y, −x), which is represented by the matrix [[0, 1], [−1, 0]]. That matches choice B. Choice A instead represents a 90° counterclockwise rotation.

AI-written and checked against the verified answer.

Previous
Next