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anonymous

  • one year ago

Medal and fan! which product represents the solution to the system? 3x+4y=-2 2x+5y=6

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  1. anonymous
    • one year ago
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    apply matrices. \[\left[\begin{matrix}3 & 4 \\ 2 & 5\end{matrix}\right]\left(\begin{matrix}x \\ y\end{matrix}\right)=\left(\begin{matrix}-2 \\ 6\end{matrix}\right)\]

  2. anonymous
    • one year ago
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    I am sure you can follow the rules of matrices to find the solution of x and y now from the previous post

  3. anonymous
    • one year ago
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  4. anonymous
    • one year ago
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    my answer^^

  5. anonymous
    • one year ago
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    try calculating the inverse of the matrix again

  6. anonymous
    • one year ago
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    ??

  7. anonymous
    • one year ago
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    \[\left[\begin{matrix}3 & 4 \\ 2 & 5\end{matrix}\right]\left(\begin{matrix}x \\ y\end{matrix}\right)=\left(\begin{matrix}-2 \\ 6\end{matrix}\right)\] \[\left(\begin{matrix}x \\ y\end{matrix}\right)=\left[\begin{matrix}3 & 4 \\ 2 & 5\end{matrix}\right]^{-1}\left(\begin{matrix}-2 \\ 6\end{matrix}\right)\]

  8. anonymous
    • one year ago
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    remember the inverse of a matrix for a 2x2 matrix \[A=\left[\begin{matrix}a & b \\ c & d\end{matrix}\right]\] then \[A ^{-1}=\frac{ 1 }{ ad-bc }\left[\begin{matrix}d & -b \\ -c & a\end{matrix}\right]\]

  9. anonymous
    • one year ago
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    feel free to fan me so you can ask me for help straight away when you need it :)

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spraguer (Moderator)
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