Linear Independence - Example III

Example III

Let V be the vector space of all functions of a real variable t. Then the functions et and e2t in V are linearly independent.

Read more about this topic:  Linear Independence

Famous quotes containing the word iii:

    Knavery seems to be so much a the striking feature of its inhabitants that it may not in the end be an evil that they will become aliens to this kingdom.
    —George III (1738–1820)

    Napoleon wanted to turn Paris into Rome under the Caesars, only with louder music and more marble. And it was done. His architects gave him the Arc de Triomphe and the Madeleine. His nephew Napoleon III wanted to turn Paris into Rome with Versailles piled on top, and it was done. His architects gave him the Paris Opera, an addition to the Louvre, and miles of new boulevards.
    Tom Wolfe (b. 1931)