PreCalculus - Matrices & Matrix Applications (26 of 33) Solving Sys of Linear Eqn with Inverse

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In this video I will find x=? y=? of systems of 2 linear equations using inverse matrices.

Next video in the Matrices series can be seen at:
  1. Michel van Biezen
  2. ilectureonline
  3. ilectureonline.com
  4. Mike
  5. Mike van Biezen
  6. van Biezen
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Комментарии
Автор

There actually is.  Once you have placed it in this format, you can use this multiple times each time for a different "B" matrix.

MichelvanBiezen
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Is there an advantage of using this method over using the Gaussian elimination method that you taught us in video #5?

ssrrapper
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Could you please explain why is X=A^(-1)B rather than X=BA^(-1), which can have   totally different result. Because from your last video you explained that it is based on the division intuition: AX=B ==>X=B/A ==>X=BA^(-1).

Binancian
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That was confusing because funny thing is that inverse of a must be multiplied by B but it is not possible to multiply B by inverse of A. So, a small question how to know if the matrices cant be multiplied?

ahmedal-ebrashy
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Is this process faster in solving systems of equations or is gaussian elimination faster?? Or does it depend?

Chan-uxej
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this seems like more work then the other method recently mentioned

jeremywilliams