Vector Multiplication Using Matrices Answers

Write v as a matrix that could be used in transformation calculations.

Using the matrix at the right that represents rectangle ABCD, list the coordinates of C: (, )

Complete the transformation on the vector shown and choose the resulting vector:

The previous transformation could be classified as a reflection across the x–axisreflection across the y–axisrotation 90° CCW about originrotation 180° CCW about origin.

Write a rotation vector that would rotate the plain green trapezoid onto the other plain green trapezoid (assuming the origin is where the two trapezoids meet). a = ⇒ -1b = ⇒ 0 c = ⇒ 0 d = ⇒ -1

Use the general rotation matrix and the unit circle or inverse trigonometric functions to find the angles of rotation for the following matrices.

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First complete a rotation of 90° CCW135° CCW✔ 270° CCW about the origin with the following matrix:

After you have applied the rotation matrix to the original vector, you get:

Finally, you will need to ✔ addsubtractmultiply in order to translate it to the final image.

The previous transformation could be classified as a

50°72°108°144°