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Math Help - Underlined letter in matrix notion

  1. #1
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    Underlined letter in matrix notion

    In the context of the equation

    Ax = B

    where A and B are matrices and the letter x is underlined, what does the latter represent? A column vector? I have to 'solve' by using the inverse of A multiplied by B, but I'm just wondering if I should produce a colum vector or some other kind of 'solution'.

    Cheers
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  2. #2
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    Quote Originally Posted by DangerousDave View Post
    In the context of the equation

    Ax = B

    where A and B are matrices and the letter x is underlined, what does the latter represent? A column vector? I have to 'solve' by using the inverse of A multiplied by B, but I'm just wondering if I should produce a colum vector or some other kind of 'solution'.

    Cheers
    hey

    for 'x' part of question:


    basically 'x' is a common multipling matrix,

    The constraints on x are as follows:

    if A and B are 2x2 matrices, then x must be a 2x2 matrix
    if A and B are 3x3 matrices, then x must be a 3x3 matrix
    .
    .
    if A and B are nxn matrices, then x must be a nxn matrix

    and obviously the matrix of B = the matrix of A* the matrix of x

    for solving:

    Normally in these problem they will want you to calculate the x-value

    to do this you treat like you would any equation and make the equation into the form x=...
    if you multiply by the invere of A on both sides you get:
    (Ile use 'AI' to represent the inverse of A)

    A*(AI)*x=B*(AI)

    as A*(AI)=1, the equation becomes:

    x=B*(AI)

    and hence you can have/can work out the value of x
    if theyve given you the values of B and A, you should work out the B*AI matrix components and write in terms of x

    so (if x was a 3 x 3 matrix for example) wrtie as:

    x =
    [ a b c
    d e f
    g h i ]

    otherwise writing it like 'x=B*(AI)' should be fine

    hope this helps
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