ok this is my lasst question of the night i promise!

Find the unique quadratic function that passes through the points (-2, 5), (1,-1), and (6, 29). use matrices to solve

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- May 2nd 2010, 09:28 PMmamajenquadratic functions
ok this is my lasst question of the night i promise!

Find the unique quadratic function that passes through the points (-2, 5), (1,-1), and (6, 29). use matrices to solve - May 2nd 2010, 09:31 PMpickslides
- May 2nd 2010, 09:40 PMmamajen
- May 2nd 2010, 09:55 PMpickslides
so we have,

$\displaystyle -1=a+b+c$

$\displaystyle 29=36a+6b+c$

$\displaystyle 5 = 4a-2b+c$

Which can be written in matrix form as

$\displaystyle

\left[ \begin{array}{c}

a\\

b\\

c\end{array}\right]=\left[ \begin{array}{ccc}

1 & 1 & 1 \\

36 & 6 & 1 \\

4 & -2 & 1 \end{array} \right]^{-1} \left[ \begin{array}{c}

-1\\

29\\

5\end{array}\right]

$

Now you need to find the inverse of a $\displaystyle 3\times 3$ matrix, will be tricky - May 2nd 2010, 10:04 PMmamajen