Re: Even More Simultaneous Equation Solutions Message #2 Posted by Palmer O. Hanson, Jr. on 31 Mar 2006, 10:17 p.m., in response to message #1 by JasonG
Jason:
The TI-83 Plus calculates the determinant of Valentin's matrix A to be zero which prevents doing an INV A * B solution on that machine.
The TI-85 calculates the determinant of Valentin's matrix A to be 9.90927530944e-08 which is within one per cent of the exact value of 1e-07. As indicated in the first submission in this thread the TI-85 gets respectable solutions for Valentin's problem whether using the INV A * B or Simultaneous Equation method.
What does the TI-84 find as the determinant of A?
In a thread in 2005 I presented results from calculation of determinants for 7x7 through 10x10 Hilbert matrices as follows:
7x7 8x8 9x9 10x10
TI-83+ 4.835795E-25 2.737004E-33 9.721266E-43 0
TI-85 4.835795E-25 2.737004E-33 9.721266E-43 2.207089E-53
HP-49 Exact 4.835803E-25 2.737050E-33 9.720234E-43 2.164179E-53
where the surprise was that the TI-83 Plus and TI-85 determinants for 7x7 through 9x9 were exactly the same and quite respectable but the TI-83 Plus determinant for the 10x10 Hilbert was zero. What does the TI-84 yield for those calculations?
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