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Solving an inverse matrice

  • 25-05-2005 3:38pm
    #1
    neon_glows
    Closed Accounts Posts: 873 ✭✭✭


    This the what i believe is the answer, would appreciate if some one cud verify it to be right or wrong.

    3x + 2y = 16
    x + 4y = 22

    |3 2| | x | = | 16 |
    |1 4| | y | = | 22 |
    A X = B

    x = A-1 B

    1/ad-bc = 1/(3)(4)-(2)(1) = 1/9

    1/9 |4 -2| | x | = | 16 |
    |-1 3| | y | = | 22 |

    =

    1/9 |64 - 44|
    |-16 + 66|

    = 1/9 (20) = 2.2
    (50) = 5.5

    1/9


Comments

  • #2
    D-Generate
    Registered Users, Registered Users 2 Posts: 2,945 ✭✭✭D-Generate


    The detirminent is 1/10

    1/(ad-bc)
    = 1/[(4.3)-(2.1)]
    = 1/[12-2]
    = 1/10

    Rest is all right final line should be

    1/10 [20]
    [50]

    Giving you
    x= 2 and y = 5


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