Finding The Matrix of A Transformation
If one has a linear transformation in functional form, it is easy to determine the transformation matrix A by simply transforming each of the vectors of the standard basis by T and then inserting the results into the columns of a matrix. In other words,
For example, the function is a linear transformation. Applying the above process (suppose that n = 2 in this case) reveals that
Read more about this topic: Transformation Matrix
Famous quotes containing the words finding the, finding and/or matrix:
“It makes little sense to spend a month teaching decimal fractions to fourth-grade pupils when they can be taught in a week, and better understood and retained, by sixth-grade students. Child-centeredness does not mean lack of rigor or standards; it does mean finding the best match between curricula and childrens developing interests and abilities.”
—David Elkind (20th century)
“Kitterings brain. What we will he think when he resumes life in that body? Will he thank us for giving him a new lease on life? Or will he object to finding his ego living in that human junk heap?”
—W. Scott Darling. Erle C. Kenton. Dr. Frankenstein (Sir Cedric Hardwicke)
“The matrix is God?
In a manner of speaking, although it would be more accurate ... to say that the matrix has a God, since this beings omniscience and omnipotence are assumed to be limited to the matrix.
If it has limits, it isnt omnipotent.
Exactly.... Cyberspace exists, insofar as it can be said to exist, by virtue of human agency.”
—William Gibson (b. 1948)