For this assignment, you should not use loops! You should be using vectorized operations. Functional iterators are also not allowed. The following operations will be deducted: for, while, comprehensions (like [x for x in range(10)], map(), and filter().

Utilize numpy and use python 3.8 thank you!

Recall that a transformation matrix T is a 4x4 matrix which can be used to represent the position and orientation of a coordinate frame relative to a base frame. A transformation matrix has the following form: T = R 0 1 = 1'11 121 7'31 0 1'12 122 732 0 113 Pi 123 P2 133 0 1 P3 p is a 3xl matrix in R3, and R is a 3x3 rotation matrix. All rotation matrices have the property that the transpose of R is equal to its inverse, ie. RTR = I, where I is the 3x3 identity matrix. Write a function is transformation matrix that takes in a 4x4 Numpy array and returns True if it's a valid transformation matrix, and False otherwise. Example: Wenn tf valid nr.array([ [0, 0, -1, 4), [0, 1, 0, 2.4), (1, 0, 0, 3), [0, 0, 0, 1] ]) Wam tf invalid = np.array([ [1, 2, 3, 1], [0, 1, -3, 4], [0, 1, 1, 1), (-0.5, 4, 0, 2] 1) print is transformation matrix (tavalid)) # True! print is transformation matrix ( tinvalid)) # False