Results 1 to 2 of 2

Math Help - Matrices

  1. #1
    Senior Member
    Joined
    Oct 2009
    Posts
    459

    Matrices

    People usually use the sign = with matrices but is it not more appropriate to use the 'is identically equal to' sign (\equiv ) ?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Mar 2011
    From
    Tejas
    Posts
    3,323
    Thanks
    699
    there is a well-defined notion of equality among matrices, as there is among vectors in R^n: to wit, two matrices are equal if and only if every i,j-th entry is equal for both matrices.

    as matrices often occur in equations, where the entries of a matrix, or of a vector a matrix acts upon is unknown, "identically equal to" isn't usually appropriate, unless one is talking about a certain specially defined matrix, such as the nxn identity matrix.

    furthermore, there are different notions of "equivalence" of matrices, the most important of which is probably similarity.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 2
    Last Post: November 25th 2010, 06:34 PM
  2. Total matrices and Commutative matrices in GL(r,Zn)
    Posted in the Advanced Algebra Forum
    Replies: 8
    Last Post: August 16th 2010, 02:11 AM
  3. Matrices help!!
    Posted in the Algebra Forum
    Replies: 0
    Last Post: October 30th 2009, 02:21 AM
  4. Matrices Help
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: October 24th 2009, 09:36 PM
  5. Matrices represented by Symmetric/Skew Symmetric Matrices
    Posted in the Advanced Algebra Forum
    Replies: 7
    Last Post: October 25th 2008, 05:06 PM

Search Tags


/mathhelpforum @mathhelpforum