Explore BrainMass

Explore BrainMass

    Vectors in linear algebra

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

    Suppose that a "skew" product of vectors in R2 is defined by (u,v)=u1v1-u2v2

    Prove that (u,v)squared >equal too (u,u)(v,v). (NOTE; This is just the reverse of the Cauchy- Schwartz inequality for the ordinary dot product.)

    © BrainMass Inc. brainmass.com February 24, 2021, 2:17 pm ad1c9bdddf
    https://brainmass.com/math/linear-algebra/vectors-linear-algebra-11734

    Solution Preview

    Please see the attachment.

    Suppose that a "skew" product of ...

    Solution Summary

    This is a proof of the reverse of the Cauchy-Schwartz dot product inequality. The inequality for the ordinary dot product function is analyzed.

    $2.19

    ADVERTISEMENT