Explore BrainMass

Explore BrainMass

    Matrices

    Not what you're looking for? Search our solutions OR ask your own Custom question.

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

    Let B, C, D, E, F and G be the following matrices:

    1 3
    2 6
    3 9

    1 -1 0
    0 2 3
    0 0 2

    1 -1 0
    0 1 1
    1 0 1

    2 1 0 0
    0 0 -1 -1
    0 0 0 3
    0 0 0 0

    1 1
    3 4

    4 6
    -2 -3

    I would welcome an explanation of whether:

    - the columns of each matrix are independent
    - the rows of each matrix are independent
    - the columns of each matrix span R2 or R3
    - the rows of each matrix span R3
    - the rank of each matrix is 1 or 2.

    © BrainMass Inc. brainmass.com March 4, 2021, 8:06 pm ad1c9bdddf
    https://brainmass.com/math/matrices/matrices-144516

    Solution Preview

    [1]
    the second and third rows are multiples of the first; so the rows aren't independent, and neither are the columns.
    the rows span a 1-dimensional subspace of R^2, and the columns span a 1-dimensional subspace of R^3
    the row rank = column rank = 1 in this case ...

    $2.49

    ADVERTISEMENT