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:

    No alternative to the
    one-man path.
    Denise Levertov (b. 1923)

    A man’s women folk, whatever their outward show of respect for his merit and authority, always regard him secretly as an ass, and with something akin to pity. His most gaudy sayings and doings seldom deceive them; they see the actual man within, and know him for a shallow and pathetic fellow. In this fact, perhaps, lies one of the best proofs of feminine intelligence, or, as the common phrase makes it, feminine intuition.
    —H.L. (Henry Lewis)