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Math Help - inverse matrix

  1. #1
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    inverse matrix

    i have to write an equation involving an inverse matrix and solve for a, b and c.

    so far i've got to

    (9 -3 1) (a) (28)
    (16 4 1) (b) = (-7)
    (49 7 1) (c) (38)

    if anyone could help me i would appreciate it a lot as I am really stuck
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  2. #2
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    Hello gbooker
    Quote Originally Posted by gbooker View Post
    i have to write an equation involving an inverse matrix and solve for a, b and c.

    so far i've got to

    (9 -3 1) (a) (28)
    (16 4 1) (b) = (-7)
    (49 7 1) (c) (38)

    if anyone could help me i would appreciate it a lot as I am really stuck
    Find the inverse of the matrix \begin{pmatrix}9&-3&1\\16&4&1\\49&7&1\end{pmatrix}, using the method shown, for instance, here.

    When you multiply on the left of each side by this inverse matrix, the LHS becomes \begin{pmatrix}a\\b\\c\end{pmatrix}, and the RHS will give (when you complete the multiplication) the solutions you want.


    Can you complete it now?


    Grandad
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