Transformation Matrices

Question 1

What is the transformation matrix?

Answer 1

Is a particular type of matrix used for changing the frame of reference of an another frame or a vector.

Question 2

Write the transformation matrix starting from the example seen in class.

Answer 2

Hint: two ref. frames not with the same origin

Question 3

Exercize seen in class on the transformation matrix.

Answer 3

O2 = [2 1 0]
P2 = [sqrt2/2 sqrt2/2 0]
R21 = Rz(45)

find P1 = [2 2 0]

Question 4

Properties of the trans. matrix.

Answer 4

• Composition
• Inversion