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:
“Love has its own instinct, finding the way to the heart, as the feeblest insect finds the way to its flower, with a will which nothing can dismay nor turn aside.”
—HonorĂ© De Balzac (17991850)
“As a father I had some trouble finding the words to separate the person from the deed. Usually, when one of my sons broke the rules or a window, I was too angry to speak calmly and objectively. My own solution was to express my feelings, but in an exaggerated, humorous way: You do that again and you will be grounded so long they will call you Rip Van Winkle II, or If I hear that word again, Im going to braid your tongue.”
—David Elkind (20th century)
“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)