Use the given inverse... will give a medal :)
whats the inverse
I believe she's still attaching/typing it
|dw:1362769517740:dw|
@amistre64
THE SETUP FOR IT GOES LIKE THIS |4 3| |x| = |6| |2 2| |y| |5| A^(-1) |4 3| |x| = A^(-1) |6| |2 2| |y| |5| |x| = A^(-1) |6| |y| |5|
.... caps stuck :)
there are some rules you can follow for finding an inverse: a rule of thumb for a 2x2 is to swap a d and negate b c, then divide by the determinant
\[A=\begin{vmatrix}a&b\\c&d\end{vmatrix}\] \[A^{-1}=\frac{1}{ad-bc}\begin{vmatrix}d&-b\\-c&a\end{vmatrix}\]
we can stick 6 5 in that to determine formula for x and y now \[\binom{x}{y}=\frac{1}{ad-bc}\begin{vmatrix}6d-5b\\-6c+5a\end{vmatrix}\]
hmmm, i missed that they GAVE the inverse already sooo just 6 5 the inverse :)
so x= 6 and y=5 correct ?
soryr im a bit confused ehre the solution cant be x= 6 and y= 5.. :s @amistre64
@jim_thompson5910
\[Ax=b\] \[A^{-1}Ax=A^{-1}b\] \[A^{-1}A=1;~therefore\] \[x=A^{-1}b\] you should already know how to multiply a matrix by a column vector they give you \(A^{-1}\) and \(b\)
@jim_thompson5910
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