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: (, )

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

Complete the transformation on the rectangle ABCD shown and choose the resulting vector: Use [ABCD]

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.

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:

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The previous transformation could be classified as a

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

50°72°108°144°

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