Basis (linear Algebra) - Example of Alternative Proofs

Example of Alternative Proofs

Often, a mathematical result can be proven in more than one way. Here, using three different proofs, we show that the vectors (1,1) and (−1,2) form a basis for R2.

Read more about this topic:  Basis (linear Algebra)

Famous quotes containing the words alternative and/or proofs:

    Education must, then, be not only a transmission of culture but also a provider of alternative views of the world and a strengthener of the will to explore them.
    Jerome S. Bruner (20th century)

    Would you convey my compliments to the purist who reads your proofs and tell him or her that I write in a sort of broken-down patois which is something like the way a Swiss waiter talks, and that when I split an infinitive, God damn it, I split it so it will stay split, and when I interrupt the velvety smoothness of my more or less literate syntax with a few sudden words of bar- room vernacular, that is done with the eyes wide open and the mind relaxed but attentive.
    Raymond Chandler (1888–1959)