Addition of Matrices

Add yours

Sorry, we don't have any videos for this topic yet.
Let teachers know you need one by requesting it

Log in so we can tell you when a lesson is added.

Key Questions

  • A matrix is a table of numbers (or other elements) disposed in rows ans columns.
    For example:
    This is a rectangular matrix called #A# with #2# rows and #3# columns, so you say thart #A# has order #2xx3# (2 by 3).

    You can have square matrices when the numbers of rows is equal to the number of columns:
    Where #B# is a square matrix od order #3xx3# or simply #3#.

    You can also have matrices with one column only or one row only :
    #C=##((1),(6),(7))# or #D=##((1,2,3,4,6))#
    these are sometimes called vectors or column vector and row vector.

    A bank statement is an example of a matrix:

  • You add the corresponding elements to get your result.

    This is one of the easier matrix operations. Here is an example:

    [a b c]+[g h i] = [a+g, b+h, c+i]
    [d e f].. [j k l] ... [d+j,. e+k,. f+l]

    Ignore the "."; it's the only way to space things right now.

    Since we are adding corresponding elements, the matrices must have the same dimensions; the answer must also have the same dimension.

  • The 4x4 matrix :

    1 1 1 1 1

    1 1 1 1 1

    1 1 1 1 1

    1 1 1 1 1

    and this one

    1 0 0 0

    0 0 0 0

    0 0 0 0

    0 0 0 0

    are equivalent, because they are both of rank 1.

    Actually : two nxp matrices A and B are equivalents iff rank(A) = rank(B).

    NB. rank(A) is the dimension of space engendered by the columns of A.

  • This key question hasn't been answered yet. Answer question


  • Double-check the answer
    Eddie answered · 1 year ago
  • Alan P. answered · 1 year ago
  • Gió answered · 3 years ago