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Pre Calc Help D:
#10
KajitiSouls Wrote:Actually it only needs to be in "Reduced Row Echelon" form.
  • All nonzero rows are above any rows of all zeroes.
  • The leading coefficient (also called pivot) of a row is always strictly to the right of the leading coefficient of the row above it.
  • Every leading coefficient is 1 and is the only nonzero entry in its column.

In the matrix:

| 1 0 -3 -10|
| 0 1 3 34|
| 0 0 0 0 |

the threes in column three just signify that it's a free variable. You can define the set of equations being represented by the matrix as a 1-parameter family of solutions, or a line in 3-space dimension.

Of course, an Identity matrix means there's only 1 solution, which is preferred =P But if you have the Reduced Row Echelon form of a matrix, and it's not an Identity matrix, then it has infinite solutions instead.
I know what REF is, I've taken Linear Algebra, and even though I completely failed at it, I haven't forgotten how to do that Tongue

He said RREF, so I was being technical D:
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Messages In This Thread
Pre Calc Help D: - by HooKarez - 2009-05-03, 09:02 PM
Pre Calc Help D: - by whybanme - 2009-05-03, 10:10 PM
Pre Calc Help D: - by KajitiSouls - 2009-05-03, 10:46 PM
Pre Calc Help D: - by Kalovale - 2009-05-04, 01:11 AM
Pre Calc Help D: - by Russt - 2009-05-04, 01:59 AM
Pre Calc Help D: - by HooKarez - 2009-05-04, 06:54 AM
Pre Calc Help D: - by KajitiSouls - 2009-05-04, 12:49 PM
Pre Calc Help D: - by Dusk - 2009-05-04, 04:17 PM
Pre Calc Help D: - by KajitiSouls - 2009-05-04, 06:04 PM
Pre Calc Help D: - by Dusk - 2009-05-04, 06:24 PM
Pre Calc Help D: - by KajitiSouls - 2009-05-04, 06:37 PM

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