Explore BrainMass
Share

Explore BrainMass

    Characteristics of a mapping

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Let M be a two by two matrix for which each element is a real number, and let S be the set of all such matrices. Consider the mapping f of S to the real numbers R defined by the relation f(M) = determinant of M.

    a. Is this mapping onto? Why or why not?
    b. Is this mapping one to one? Why or why not?
    c. Is this mapping a homeomorphism? Why or why not?
    d. Is this mapping an isomorphism? Why or why not?

    © BrainMass Inc. brainmass.com October 9, 2019, 10:26 pm ad1c9bdddf
    https://brainmass.com/math/discrete-math/characteristics-of-a-mapping-220418

    Solution Summary

    This provides examples of the characteristics of a given mapping.

    $2.19