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kenneyfamily

  • 2 years ago

4x - y = 1 x + 2y = 7 how could i solve this using an inverse matrix?

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  1. tkhunny
    • 2 years ago
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    1) Use the coefficients to form a 2x2 matrix. 2) Augment this matric by I2 3) Perform row operations to find the inverse of the original matrix. Are we ringing bells?

  2. kenneyfamily
    • 2 years ago
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    No..

  3. kenneyfamily
    • 2 years ago
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    would you write the matrix as 4 -1 1 2

  4. tkhunny
    • 2 years ago
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    That is part #1. Very good. Next...

  5. kenneyfamily
    • 2 years ago
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    what do you mean by augment it by I2?

  6. tkhunny
    • 2 years ago
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    \[\left[\begin{matrix}4 & -1 & 1 & 0\\ 1 & 2 & 0 & 1\end{matrix}\right]\]

  7. kenneyfamily
    • 2 years ago
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    why did you do that? sorry i'm confused

  8. tkhunny
    • 2 years ago
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    Well, this is one very useful way to find an Inverse Matrix. You've never seen it, before?

  9. kenneyfamily
    • 2 years ago
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    I may have but I forgot how to do it

  10. tkhunny
    • 2 years ago
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    How about "Elementary Row Operations"? Any of those floating around in your bag of tricks?

  11. kenneyfamily
    • 2 years ago
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    I wish I could say yes but no. I'm retaking a pre-calc course because i failed it the first time

  12. tkhunny
    • 2 years ago
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    Well, you're going to have to get a few things up to speed. Finding an inverse matrix is an important skill. You'll have to start somewhere. Try this: http://www.youtube.com/watch?v=RsTdy2r9DHk

  13. kenneyfamily
    • 2 years ago
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    ok thanks!!

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