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Math Help - matrices equality

  1. #1
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    matrices equality

    {A[1 -1]}T = [2 3]
    {...[0 1]}.......[1 1]


    Find A..
    Can someone give me an idea to start solving this question..
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  2. #2
    Junior Member
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    Zagreb
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    what does this mean?
    Quote Originally Posted by nameck View Post
    {...[0 1]}.......[1 1]

    if that means : A[ 0 1 ] = [ 1 1 ]

    than you can see this:

    matrix are just a way to write how linear operator affect on some vector...

    so in this case [ 0 1 ] is vector ( 0, 1 )

    A[ 0 1 ] = A( 0,1 ) = ( 1, 1 )

    so... A[ 1 -1 ] = A( 1, -1 ) = { A is linear } = A( 1, 0 ) - A( 0, 1 ) = A( 1, 0 ) - ( 1, 1 )

    and A( 1, -1 ) = ( 2, 3 ) ----> ( 2, 3 ) = A( 1, 0 ) - ( 1, 1 )

    so A( 1, 0 ) = ( 3, 4 )

    and you have:

    A( 0, 1 ) = ( 1, 1 )

    so A ( in canonical(?) basis ) =

    3 1

    4 -1
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